Find values of the sine and cosine functions for each angle measure.

2y, given sec y = -5/3, sin y > 0

Use the given information to find each of the following.

sin A/2, given cos A/2 = - 3, 90° < A < 180°

Use the given information to find each of the following.

sin y, given cos 2y = -1/3 , π/2 < y < π

Use the given information to find each of the following.

sin 2x, given sin x = 0.6, π/2 < y < π

Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.

(cos x sin 2x)/1 + cos 2x)

Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.

csc x - cot x

Determine whether the positive or negative square root should be selected.

cos 58° = ±√ (1 + cos 116°)/2]

Determine whether the positive or negative square root should be selected.

sin (-10°) = ± √[(1 - cos (-20°))/2]