Precalculus Archive: Questions from October 16, 2022
-
Establish the identity. \[ \frac{\cos (\alpha+\beta)}{\sin \alpha \sin \beta}=\cot \alpha \cot \beta-1 \] Choose the sequence of steps below that verifies the identity. A. \( \frac{\cos (\alpha+\beta)2 answers -
\& 5: Prove 2 of the following for 10 pts each. a) \( \frac{1}{\sec x-\tan x}-\frac{1}{\sec x+\tan x}=2 \tan x \) b) \( \frac{\sin (x+y)}{\cos x \cos y}=\tan x+\tan y \) c) \( \frac{\cos x}{\sec x+\ta2 answers