What are the exact values of sin cos and tan?
Exact trigonometric ratios for 0°, 30°, 45°, 60° and 90°
| 0 ∘ | 45 ∘ | |
|---|---|---|
| sin | 0 | 1 2 or 2 2 |
| cos | 1 | 1 2 or 2 2 |
| tan | 0 | 1 |
What is the unit of sin?
Using the unit circle, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t whereas the cosine of an angle t equals the x-value of the endpoint.
What is the unit circle of tan?
The unit circle with tangent gives the values of the tangent function (which is usually referred to as “tan”) for different standard angles from 0° to 360°. Usually, the general unit circle gives the values of sin (sine function) and cos (cosine function).
How do you find exact values of sin?
When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1. Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.
What is exact value of cos?
1 A Table of Exact Trig values
| a | cos(a) sin(b) | |
|---|---|---|
| radians | ° | |
| π 8 | 22.5 | cos2(22.5°) = [0; 1, 5, 1, 4] |
| π 6 | 30 | √32 |
| cos(30°) = [ 0; 1, 6, 2, 6 ] cos2(30°) = [0; 1, 3] |
What is the value of cos?
The value of cos 1 degrees can be calculated by constructing an angle of 1° with the x-axis, and then finding the coordinates of the corresponding point (0.9998, 0.0175) on the unit circle. The value of cos 1° is equal to the x-coordinate (0.9998). ∴ cos 1° = 0.9998.
What is COSX equal to?
Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where “adjacent side” is the side adjacent to the angle x, and “hypotenuse” is the longest side (the side opposite to the right angle) of the triangle.
How do you find sin Cos tan on the unit circle?
Unit circle tangent & other trig functions The ratio of the opposite and adjacent sides to an angle in a right-angled triangle. We can also define the tangent of the angle as its sine divided by its cosine: tan(α) = sin(α)/cos(α) = y/x , which of course will give us the same result.