Sin 60 in radians

Using the Sine Calculator. To use the tool to find the sine, enter the measurement of the angle in either degrees or radians, choose the units, and compute. Angle - measurement of the angle (in either degrees or radians) Degrees or Radians? - use the menu to choose the units. Once you're happy with the inputs, click the "Compute Sine" button.

NumPyにおけるnp.sin(), np.arcsin()などの三角関数・逆三角関数では、角度をラジアン（弧度）で表す。 ラジアン - Wikipedia; 度からラジアン: np.radians(), np.deg2rad() 度からラジアンへの変換はnp.radians()またはnp.deg2rad()。どちらでも結果は同じ。 numpy.radians — NumPy v1.26 ManualTo find the sine: Since we want to find the value of a sine in radians, we can use: or the formula for converting radians to degrees; or Trigonometric Bradis table of sines, cosines and tangent in radians from 0 to π (0 to 3,14 rad) We can use Formula for converting radians to degrees. Then:Created by. wreid87 Teacher. This quiz tests your knowledge of the trig rations of the angles 0°, 30°, 45°, 60°, 90°, and the equivalent angles in radians. For answers, right fractions using the "/" symbol and write square roots using "r". For example: "1/2" and "r2/2".The sine formula is: sin (α) = opposite hypotenuse = a c. Thus, the sine of angle α in a right triangle is equal to the opposite side's length divided by the hypotenuse. To find the ratio of sine, simply enter the length of the opposite and hypotenuse and simplify. For example, let's calculate the sine of angle α in a triangle with the ...The calculator instantly tells you that sin (45°) = 0.70710678. It also gives the values of other trig functions, such as cos (45°) and tan (45°). First, select what parameters are known about the triangle. You can choose between " two sides ", " an angle and one side ", and " area and one side ".

Find the Exact Value sin((5pi)/6) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form: # What is inverse sine? Inverse sine is the inverse of basic sine function. In the sine function, value of angle θ is taken to give the ratio opposite/hypotenuse. However, inverse sine function takes the ratio opposite/hypotenuse and gives angle θ. sin-1 (opposite/hypotenuse) = θ Inverse sine symbol. Inverse sine is represented as sin-1 or ... Popular Problems. Trigonometry. Convert from Degrees to Radians cos (30) cos (30) cos ( 30) To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. The exact value of cos(30) cos ( 30) is √3 2 3 2. √3 2 ⋅ π 180 3 2 ⋅ π 180 radians. Multiply √3 2 ⋅ π 180 3 2 ⋅ π 180.First, calculate the sine of α by dividng the opposite side by the hypotenuse. This results in sin(α) = a / c = 52 / 60 = 0.8666. Use the inverse function with this outcome to calculate the angle α = arcsin(0.8666) = 60° (1.05 radians).For example, this returns the sine of 30 degrees, which is 0.5. =SIN(PI()/3) The SIN function can also be used to calculate the sine of an angle in radians. For example, this will …To calculate any angle, A, B or C, say B, enter the opposite side b then another angle-side pair such as A and a or C and c. The performed calculations follow the side side angle (SSA) method and only use the law of sines to complete calculations for other unknowns. To calculate any side, a, b or c, say b, enter the opposite angle B and then ...The angles are calculated with respect to sin, cos and tan functions. Usually, the degrees are considered as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. Here, we will discuss the value for sin 30 degrees and how to derive the sin 30 value using other degrees or radians. Sine 30 Degrees Value. The exact value of sin 30 degrees is ½.

The sine of t is equal to the y -coordinate of point P: sin t = y. The cosine of t is equal to the x -coordinate of point P: cos t = x. Example 13.2.1: Finding Function Values for Sine and Cosine. Point P is a point on the unit circle corresponding to an angle of t, as shown in Figure 13.2.4. Find cos(t) and sin(t).1/sin x = cosec x; 1/cos x = sec x; 1/tan x = cot x; Steps to Create a Trigonometry Table Step 1: Create a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot. Step 2: Determine the value of sinFree Degrees to Radians calculator - Convert degrees to radians step-by-stepThe sine formula is: sin (α) = opposite hypotenuse = a c. Thus, the sine of angle α in a right triangle is equal to the opposite side's length divided by the hypotenuse. To find the ratio of sine, simply enter the length of the opposite and hypotenuse and simplify. For example, let's calculate the sine of angle α in a triangle with the ...It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).or. Note: We could also find the sine of 15 degrees using sine (45° − 30°). sin 75°: Now using the formula for the sine of the sum of 2 angles, sin ( A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees. We now find the sine of 36°, by first finding the cos of 36°.

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Figure 2.2.2 2.2. 2: Unit circle where the central angle is t t radians. UNIT CIRCLE. A unit circle has a center at (0, 0) ( 0, 0) and radius 1 1. The length of the intercepted arc is equal to the radian measure of the central angle t t. Let (x, y) ( x, y) be the endpoint on the unit circle of an arc of arc length s s.60 60. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 60°⋅ π 180° 60 ° ⋅ π 180 ° radians. Cancel the common factor of 60 60. Tap for more steps... π 3 π 3 radians.It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).To convert radians to degrees, multiply by 180 π, since a full circle is 360 d e g or 2 π radians. (sin ⁡ (60)) ...Angle: Calculate. Answer: 90° = π/2 radian. Step-by-Step Solution. Given that 180° is equal to pi, we can write the following degrees to radians conversion formula: α in π radians = α in degrees × π/180, OR. α rad = α° × π/180. Plugging the angle value, in degrees, in the previous formula, we get:

In the example above, math.inf represents infinity. Infinity (inf) in Python; The return value of math.atan2(y, x) is -180 to 180 degrees. math.atan2(y, x) takes two arguments and returns "arctan(y / x)" in radians. This angle is the polar angle of the vector from the origin to the point (x, y) in the polar coordinate plane, and the returned value …Free calculus calculator - calculate limits, integrals, derivatives and series step-by-step sine, 60, r, a, d. Solve ... Calculate the value of the sin of 20 radians To enter an angle in degrees, enter sin(20) or sin(20DEG) sin(20 radians) = 0. ... Figure 2.2.2 2.2. 2: Unit circle where the central angle is t t radians. UNIT CIRCLE. A unit circle has a center at (0, 0) ( 0, 0) and radius 1 1. The length of the intercepted arc is equal to the radian measure of the central angle t t. Let (x, y) ( x, y) be the endpoint on the unit circle of an arc of arc length s s.tg60° = √3. tg 60° = √3. tg 60 degrees = √3. The tg of 60 degrees is √3, the same as tg of 60 degrees in radians. To obtain 60 degrees in radian multiply 60° by π / 180° = 1/3 π. Tg 60degrees = tg (1/3 × π). Our results of tg60° have been rounded to five decimal places. If you want tangent 60° with higher accuracy, then use ...The angle in radians for which you want the sine. Remark. If your argument is in degrees, multiply it by PI()/180 or use the RADIANS function to convert it to radians. Example. Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter.Sep 1, 2016 ... Radians play a bigger role in future classes, so knowing how to take degrees into radians is essential. Check out this video for how that ...Use this simple csc calculator to calculate the csc value for 60° in radians / degrees. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. Select degrees or radians in the drop down box and calculate the exact csc 60° value easily. α. Sin (α) Cosec (α)Angle Type - Radians. sin (60) = -0.30481062110222. What is the value of sin 60 rad? Answer: -0.30481062110222.

These steps may be very challenging, or even impossible, depending on the equation. Step 1: Find the trigonometric values need to be to solve the equation. Step 2: Find all 'angles' that give us these values from step 1. Step 3: Find the values of the unknown that will result in angles that we got in step 2.

The actual values of sine, cosine, and tangent (sin, cos, tan) for the particular angles 30, 45, and 60 are displayed on unit circle chart. Sine (sin) : The sine value is the y-coordinate of a point on the Unit Circle.Radian angles & quadrants (Opens a modal) Practice. Radians & degrees. 4 questions. Practice. The unit circle definition of sine, cosine, & tangent. Learn. Unit circle ... Solving sinusoidal equations of the form sin(x)=d (Opens a modal) Solving cos(θ)=1 and cos(θ)=-1 (Opens a modal) Practice. Solve sinusoidal equations (basic) 4 questions ...Jun 1, 2022 ... Calculating exact values of sin, cos and tan using ASTC. Link to Trigonometry playlist (Algebra 2): ... Convert sin-60 from radians to degrees using this online tool. See the step-by-step solution, the graph, and the trigonometric functions involved. It fits nicely into the Babylonian base-60 number system, and divides well (by 2, 3, 4, 6, 10, 12, 15, 30, 45, 90… you get the idea). ... Now divide by the distance to the satellite and you get the orbital speed in radians per hour. Sine, that wonderful function, is defined in terms of radians as. This formula only works when x is in radians ...The sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module. After that, you can start your calculations. To calculate sine online of π 6 π 6, enter sin ( π 6 π 6), after calculation, the result 1 2 1 ...The y coordinate of the outgoing ray's intersection with the unit circle is the sine of that angle. It ranges from -1 for x = 3 π / 2 to +1 for π / 2. The function has zeroes where the angle is a multiple of π . Sines of angles between π and 2 π are negative.

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Kalkulator sinus (sin) online. Hitung nilai sin dari sudut x (derajat atau radian). Sin dari x adalah: sin (x) sin ( x) Masukkan nilai x (dalam derajat atau radian) untuk menghitung nilai dari sin (x). Tekan tombol "Hitung" untuk menampilkan hasil kalkulasi. sin.May 4, 2022 · 360∘ = 2π radians 360 ∘ = 2 π radians. If you divide both sides by 2, you will obtain: 180∘ = π radians 180 ∘ = π radians. We’ll use this to convert from degrees to radians and vice versa. While degrees are always written with a degree symbol (°), radians are usually written without any symbol or unit attached. As we know that arcsin 1 is equal to 90 degrees, we convert this value of sin inverse 1 in radians to express it in pi using the degrees to radians formula. The formula to convert degrees to radians is given by, Angle in Radians = Angle in Degrees × π / 180° --- [Multiplying the angle in degrees by π/180] ⇒ Arcsin 1 in terms of π = 90 ...Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-stepFind the Exact Value sin(60-45) Step 1. Subtract from . Step 2. The exact value of is . Tap for more steps... Step 2.1. Split into two angles where the values of the six trigonometric functions are known. Step 2.2. Separate negation. Step 2.3. Apply the difference of angles identity. Step 2.4. The exact value of is .60 60. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 60°⋅ π 180° 60 ° ⋅ π 180 ° radians. Cancel the common factor of 60 60. Tap for more steps... π 3 π 3 radians.Jan 18, 2024 · What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed. On the left-hand side, you're left with 1. And on the right-hand side, you're left with 180/pi degrees. So 1 radian is equal to 180/pi degrees, which is starting to make it an interesting way to convert them. Let's think about it the other way.Apr 18, 2020 ... cos 61^(@)`, it being given that `sin 60^(@) = 0.86603 and 1^(@) = 0.01745` radian. 30° and 60° The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. 1/sin x = cosec x; 1/cos x = sec x; 1/tan x = cot x; Steps to Create a Trigonometry Table Step 1: Create a table with the top row listing the angles such as 0°, 30°, 45°, 60°, 90°, and write all trigonometric functions in the first column such as sin, cos, tan, cosec, sec, cot. Step 2: Determine the value of sinsin(x) = −0.5 sin ( x) = - 0.5. Take the inverse sine of both sides of the equation to extract x x from inside the sine. x = arcsin(−0.5) x = arcsin ( - 0.5) Simplify the right side. Tap for more steps... x = − π 6 x = - π 6. The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the ... ….

1 Know the trigonometric function values for the special angles in radians #1–4, 46–48. 2 Use a unit circle to find trig values #5–30, 45–58. 3 Find reference angles in radians #33–45. 4 Evaluate trigonometric expressions #31–32, 49–54. 5 Find coordinates on a unit circle #55–60, 67–68.Convert from Degrees to Radians sin (15) sin(15) sin ( 15) To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. The exact value of sin(15) sin ( 15) is √6−√2 4 6 - 2 4. Tap for more steps... √6−√2 4 ⋅ π 180 6 - 2 4 ⋅ π 180 radians. Multiply √6−√2 4 ⋅ π ... Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... sine, 60, r, a, d. Solve ... Calculate the value of the sin of 20 radians To enter an angle in degrees, enter sin(20) or sin(20DEG) sin(20 radians) = 0. ...Challenge: Write the values of: (1) cosecπ 4 c o s e c π 4. (2) cos π 2 cos. ⁡. π 2. (3) tan π 3 tan. ⁡. π 3. ⚡Tip: Use a similar approach as in above example and also please go through trigonometric ratios of Specific Angles.To convert radians per second to meters per second, multiply theta, the rate of motion in radians per second, by the radius of the arc along which the motion is taking place. The r...Free Degrees to Radians calculator - Convert degrees to radians step-by-step ... 60 degrees to radians . en. Related Symbolab blog posts. My Notebook, the Symbolab way.Cosine of 90 Degrees Compared to Cosine of π/2 Radians. Open Live Script. cosd(90) ans = 0 cos(pi/2) ans = 6.1232e-17 Cosine of Complex Angles Specified in Degrees. Open Live Script. Create an array of three complex angles and compute the cosine. z = [180+i 45+2i 10+3i]; y = cosd(z) Sin 60 in radians, Example: sin-1 0.935 = 69.23 o (this gives us an angle). But csc 0.935 = 1.2429 (there is no degree sign on `0.935`, so it must be in radians). This is the `csc` of the angle `0.935` radians. It is a ratio, not an angle, and as you can see, it has a different value. We meet radians later in 7. Radians. For the record, `csc 0.935` means:, sin stands for sine.cos stands for cosine. cosine is the co-function of sine, which is why it is called that way (there's a 'co' written in front of 'sine').Co-functions have the relationship sin@ = cos(90-@) However, the trig function csc stands for cosecant which is completely different from cosine.As you might have noticed, cosecant has a 'co' written in front of ''secant'., The below steps show the conversion of angle in degree measure to radians. Step 1: Write the numerical value of the measure of an angle given in degrees. Step 2: Now, multiply the numeral value written in step 1 by π/180. Step 3: Simplify the expression by cancelling the common factors of the numerical., Since one degree is equal to 0.017453 radians, you can use this simple formula to convert: radians = degrees × 0.017453. The angle in radians is equal to the angle in degrees multiplied by 0.017453. For example, here's how to convert 5 degrees to radians using this formula. radians = (5° × 0.017453) = 0.087266 rad., Trigonometry. Convert from Degrees to Radians -60 degrees. −60° - 60 °. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. −60° ⋅ π 180° - 60 ° ⋅ π 180 ° radians. Cancel the common factor of 60 60. Tap for more steps... −1⋅ π 3 - 1 ⋅ π 3 radians., example 1: Solve equation . example 2: Find all solutions of the equation . Express the results in degrees. example 3: Find exact solutions of the equation . Express the results in radians. example 4:, Free math problem solver answers your trigonometry homework questions with step-by-step explanations., Make sure mode is set to radians. To find θ, θ, use the inverse sine function. On most calculators, you will need to push the 2 ND button and then the SIN button to bring up the sin − 1 sin − 1 function. What is shown on the screen is sin − 1 (. sin − 1 (. The calculator is ready for the input within the parentheses., How to use Trigonometry Calculator. Important! this Trigonometry Calculator uses [RAD] mode or radian mode. This used for trigonometric calculation. For example cos (1) the same as cos 1 Rad .Some calculators use RAD Mode or Radian (1 RAD = 57,296°) as a standard-setting. Click [DEG] to change Degree Mode., Setting grand goals can feel great in the moment, but you're probably setting yourself up for failure. Research on New Year’s resolutions shows that 80% of them fail in the longter..., Steps. Step 1: Plug the angle value, in degrees, in the formula above: radian measure = (270 × π)/180. Step 2: Rearrange the terms: radian measure = π × 270/180. Step 3: Reduce or simplify the fraction of π if necessary. Calculating the gcd of 270 and 180 [gcd (270,180)], we've found that it equals 90. So, we can simplify this fraction by ..., A multipurpose trigonometry calculator in degres and radians. Calculate any trigonometry function like sin, cos, tan, cot, arcsin, arccot, arctan, and arccot easily. Degrees and radians are supported for both input and output. A great tool for trigonometry students., Popular Problems. Trigonometry. Convert from Degrees to Radians 660 degrees. 660° 660 °. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 660°⋅ π 180° 660 ° ⋅ π 180 ° radians. Cancel the common factor of 60 60. Tap for more steps... 11⋅ π 3 11 ⋅ π 3 radians., Trigonometry. Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation., π 180 π 180. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. ( π 180)⋅ 180° π ( π 180) ⋅ 180 ° π. Cancel the common factor of π π. Tap for more steps... 1 180 ⋅180 1 180 ⋅ 180. Cancel the common factor of 180 180., The sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module. After that, you can start your calculations. To calculate sine online of π 6 π 6, enter sin ( π 6 π 6), after calculation, the result 1 2 1 ..., It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan)., Finding Function Values for the Sine and Cosine. To define our trigonometric functions, we begin by drawing a unit circle, a circle centered at the origin with radius 1, as shown in Figure 2. The angle (in radians) that t t intercepts forms an arc of length s. s. Using the formula s = r t, s = r t, and knowing that r = 1, r = 1, we see that for ..., The SIN function returns the sine of an angle provided in radians. In geometric terms, the sine of an angle returns the ratio of a right triangle's opposite side over its hypotenuse. For example, the sine of PI ()/6 radians (30°) returns the ratio 0.5. = SIN ( PI () / 6) // Returns 0.5., numpy.radians. #. Convert angles from degrees to radians. Input array in degrees. A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs., All angles in most of the math libraries are in radians. The input to math.cos should be radians but you are passing in degrees. import math degree = 90 radius = 10 x = radius * math.cos(math.radians(degree)) y = radius * math.sin(math.radians(degree)) print x,y >0, 10 math.radians is nothing more than doing (pi * degree / 180 ), It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). , In the example above, math.inf represents infinity. Infinity (inf) in Python; The return value of math.atan2(y, x) is -180 to 180 degrees. math.atan2(y, x) takes two arguments and returns "arctan(y / x)" in radians. This angle is the polar angle of the vector from the origin to the point (x, y) in the polar coordinate plane, and the returned value ranges from -pi to pi (-180 degrees to 180 ..., In fractional form, the value of sin 60°= √3/2. Sin 60°, when denoted in the terms of a radian, is π/3. The two ways by which the value of the sin 60° can be predicted are by either using the trigonometric functions or by using the unit circle. A radian is equal to 180° which is denoted a semi-circle while 2π depicts a full circle., Learn how to find the value of sin 60 degrees in decimal, fraction and radians using trigonometric functions and unit circle. See examples of using sin 60 degrees in trigonometry problems and FAQs., What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed., Free Degrees to Radians calculator - Convert degrees to radians step-by-step, Popular Problems. Trigonometry. Convert from Degrees to Radians cos (30) cos (30) cos ( 30) To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. The exact value of cos(30) cos ( 30) is √3 2 3 2. √3 2 ⋅ π 180 3 2 ⋅ π 180 radians. Multiply √3 2 ⋅ π 180 3 2 ⋅ π 180., We can use radian measures to calculate arc lengths and sector areas, and we can calculate the sine, cosine, and tangent of radian measures. In this lesson, we'll learn to: Convert between radians and degrees; ... 60 degrees, and 90 degrees. The length of the shorter leg is x, the length of the longer leg is x times the square root of 3, and ..., Sine -1 refers to the inverse sine function or arcsine. This function takes a value between -1 and 1 as the input and returns an angle in radians as the output. For example, if sin (x) = -0.866, then sin -1 (-0.866) = -1.047 radians. This is approximately -60 degrees which means that the angle whose sine is -0.866 is -60 degrees or -1.047 radians., An example of sin () function. The example below shows using the sin () function to get the sine of a few numbers. We will get the sine in radians for 30, 45 and 60: Copy to clipboard. #A demo of sin () function. from math import sin. sine_30 = sin(30) sine_45 = sin(45) sine_60 = sin(60), Sine of 180 Degrees Compared to Sine of π Radians. Copy Command. sind(180) ans = 0. sin(pi) ans = 1.2246e-16., As the other answer says, you simply can't express all values of trigonometric functions as fractions. ( π / 6) will give you 12 1 2 (that is how it works on my TI-84). But you also know that, for example, sin(45∘) = sin(π/4) sin. ( π / 4) is equal to 2√ 2 2 2. This is not a rational number and can't be written as a ratio of two integers.