Use the fundamental identities to simplify the expression.
-$$\cos x ( \csc x - \sec x ) - \cot x$$
A) $\cos ^ { 2 } x - \tan ^ { 2 } x$
B) $- 1$
C) 0
D) 1

Question

Quizplus · Accepted Answer

The expression simplifies to $-1$ by using fundamental trigonometric identities. First, rewrite $\csc x$ and $\sec x$ in terms of $\sin x$ and $\cos x$, respectively. The expression becomes $\cos x \left( \frac{1}{\sin x} - \frac{1}{\cos x} \right) - \frac{\cos x}{\sin x}$. Simplifying this leads to $-1$, as the terms involving $\sin x$ and $\cos x$ cancel out.

Use the Fundamental Identities to Simplify the Expression cos⁡x(csc⁡x−sec⁡x)−cot⁡x\cos x ( \csc x - \sec x ) - \cot xcosx(cscx−secx)−cotx

Use the Fundamental Identities to Simplify the Expression $\cos x ( \csc x - \sec x ) - \cot x$