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education/math/MATH1060 (trig)/Identities.md
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@ -23,5 +23,10 @@ $$ cot^2 \theta + 1 = csc^2\theta $$
# Even and Odd Identities # Even and Odd Identities
- A function is even if $f(-x) = f(x)$. - A function is even if $f(-x) = f(x)$.
- A function is odd if $f(-x) = -f(x)$ - A function is odd if $f(-x) = -f(x)$
Cosine and secant are **even* - Cosine and secant are **even**
- Sine, tangent, cosecant, and cotangent are **odd**.
## Examples ## Examples
> If $cot\theta = -\sqrt{3}$, what is $cot(-\theta)$?
$cot$ is an odd function, and so $cot(-\theta) = \sqrt{3}$