CPM Homework Help : PC3 Problem 8-100

For each of the trigonometric functions below, decide if they are even, odd, or neither. Then use the even/odd properties of each function to complete each equation below.

Hint:

Review your work from parts (d) through (f) of problem 8-89.
An angle measure of $2π − x = x$ in the unit circle.

$\sin\left(-x\right)=\underline{\ \ \ \ \ \ \ }$
Hint (a):
If $\sin\left(−x\right) = \sin\left(x\right)$ , then sine is an even function.
If $\sin\left(−x\right) = −\sin\left(x\right)$ , then sine is an odd function.

$\cos\left(-x\right)=\underline{\ \ \ \ \ \ \ }$
Hint (b):
Is the graph of $y = \cos\left(x\right)$ symmetric across the $y$ -axis, or is it symmetric about the origin?

$\tan\left(-x\right)=\underline{\ \ \ \ \ \ \ }$
Hint (c):
Is the sign of tangent the same in Quadrants I and II or is the sign the same in Quadrants I and III?