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education/math/MATH1060 (trig)/Identities.md
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@ -26,7 +26,12 @@ $$ cot^2 \theta + 1 = csc^2\theta $$
- Cosine and secant are **even** - Cosine and secant are **even**
- Sine, tangent, cosecant, and cotangent are **odd**. - Sine, tangent, cosecant, and cotangent are **odd**.
## Examples ## Examples
### Even and Odd Functions
> If $cot\theta = -\sqrt{3}$, what is $cot(-\theta)$? > If $cot\theta = -\sqrt{3}$, what is $cot(-\theta)$?
$cot$ is an odd function, and so $cot(-\theta) = \sqrt{3}$ $cot$ is an odd function, and so $cot(-\theta) = \sqrt{3}$
### Simplifying Using Identities
> Simplify $\frac{sin\theta}{cos\theta}$