Prove the identity is true.
Without a calculator, determine the exact value using a sum or difference identity and special angles.
Without a calculator, determine the exact value using a sum or difference identity and special angles.
Determine the tan(x - y) based on the given information.
Determine the sin(u + v) based on the given information.
Write the trigonometric expression as an algebraic expression of a single variable. Do not rationalize the final answer.
Write the trigonometric expression as an algebraic expression of a single variable. Do not rationalize the final answer.