Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
-$\csc x ( \sin x + \cos x )$
A) $1 + \cot x$
B) $\sec x \csc x$
C) $\sin x \tan x$
D) $- 2 \tan ^ { 2 } x$

Question

Quizplus · Accepted Answer

The expression $\csc x ( \sin x + \cos x )$ simplifies to $1 + \cot x$ because $\csc x = \frac{1}{\sin x}$, so $\csc x \sin x = 1$ and $\csc x \cos x = \cot x$.

Write the Expression in Terms of Sine and Cosine, and Simplify