Trigonometric Identities Exercises

Trigonometric Identities Exercises

Example 1

Simplify: .

Example 2

Find

Example 3

Find tan-1(-1).

Example 4

Find .

Example 5

Find Give your answer in radians.

Example 6

Find sec-1(2) in radians.

Example 7

If in Quadrant II, what is tan ɵ?

Example 8

If in Quadrant II, what is cos ɵ?

Example 9

If in Quadrant IV, what is tan ɵ?

Example 10

If in Quadrant II, what is sin ɵ?

Example 11

If in Quadrant III, what is cos ɵ?

Example 12

If in Quadrant I, what is tan ɵ?

Example 13

Use a sum or difference identity to find cos(-15°).

Example 14

Use a sum or difference identity to find sin(15°).

Example 15

Use a sum or difference identity to find sin(255°).

Example 16

Use a sum or difference identity to find sin(285°).

Example 17

Use a sum or difference identity to find cos(195°).

Example 18

Find tan(105°).

Example 19

Find tan(15°).