Simplify the expression to either 1 or -1.
-$$\cot ^ { 2 } x - \csc ^ { 2 } ( - x )$$
A) 1
B) $- 1$

Name: Simplify the expression to either 1 or -1. -\[\cot ^ { 2 } x - \csc ^ { 2 } ( - x )\] A) 1 B) $- 1$
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Question

Quizplus · Accepted Answer

The expression simplifies to $-1$ because $\cot^2x = \csc^2x - 1$ and $\csc(-x) = -\csc(x)$, so $\csc^2(-x) = \csc^2(x)$. Substituting these into the original expression gives $\csc^2x - 1 - \csc^2x = -1$.

Simplify the Expression to Either 1 or -1 cot⁡2x−csc⁡2(−x)\cot ^ { 2 } x - \csc ^ { 2 } ( - x )cot2x−csc2(−x)

Simplify the Expression to Either 1 or -1 $\cot ^ { 2 } x - \csc ^ { 2 } ( - x )$