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.

(1 - cos 2x)/sin 2x

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.

sin (-10°) = ± √[(1 - cos (-20°))/2]

Match each expression in Column I with its value in Column II.

8. tan (-π/8)

Match each expression in Column I with its value in Column II.

10. cos 67.5°

Use a half-angle identity to find each exact value.

sin 195°