Analytical Trigonometry Exercises

Example 1

Find the exact value of tan (120°).

Hint

Example 2

If and , find the exact value of sin (2α).

Hint

Plug and chug right into sine's double-angle formula.

Example 3

Find the exact value of cos (15°).

Hint

You can use the subtraction or half-angle identities on this one.

Example 4

Find the exact value of sin (112.5°).

Hint

This is a pretty involved problem. 112.5 is half of 225, which equals 180 + 45. Use the addition formula to get cos 225, then plug that into the half-angle formula.

Example 5

Find the exact value of tan (-315°).

Hint

Tangent is an odd function, so the result tan (-315°) will be -tan (315°). Careful, though, because 315° is in Quadrant IV.

Analytical Trigonometry Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

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