Trigonometric Ratios of Compound Angles

Find the value of the following:

sin (-105°)

Find the value of the following:

cosec 15º

Find the value of the following:

cot 75°

Find the value of the following:

sin 76° cos 16° – cos 76° sin 16°

Find the value of the following:

`sin  pi/4 cos  pi/12 + cos  pi/4 sin  pi/12`

Find the value of the following:

cos 70° cos 10° – sin 70° sin 10°

Find the value of the following:

cos² 15° – sin² 15°

If sin A = `3/5`, 0 < A < `pi/2` and cos B = `(-12)/13`, π < B < `(3pi)/2`, find the values of the following:

1. cos(A + B)
2. sin(A – B)
3. tan(A – B)