1. Determine the quadrant containing
if cot
< 0 and sin
> 0.
2. Find the other trigonometric functions of
using the given information.
| a. |
sin = and cos =  |
| b. |
sec = and sin < 0 |
| c. |
tan = and cos =  |
3. Simplify each expression.
| a. |
(1 - sin )(1 + sin ) |
| b. |
tan2 t csc2 t - 1 |
4. Factor the trigonometric expression.
| a. |
tan2 t - 1 |
| b. |
3 sin2 t + sin t - 2 |
5. Verify each identity.
| a. |
(1 - sin2 )(1 + cot2 ) = cot2  |
| b. |
= csc t - sin t |