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education/math/MATH1060 (trig)/The Unit Circle.md
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@ -26,6 +26,14 @@ Finding a reference angle:
| 2 | $180\degree - \theta$ | | 2 | $180\degree - \theta$ |
| 3 | $\theta - 180\degree$ | | 3 | $\theta - 180\degree$ |
| 4 | $360\degree - \theta$ | | 4 | $360\degree - \theta$ |
## Other Trigonometric Functions
All of the following only apply when the denominator is not equal to zero.
$$ tan \theta = \frac{y}{x} $$
Because the following are inverses of their counterparts, you only need to remember the equivalents for $sin$, $cos$, and $tan$, then just find the inverse by taking $1/v$.
$$ sec \theta = \frac{1}{x} $$
$$ csc = \frac{1}{y} $$
$$ cot \theta = \frac{x}{y} $$
## The Pythagorean Identity ## The Pythagorean Identity
The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions. The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.