Using a sum or difference identity, write the following as an expression involving functions of x.
-$\sin ^ { 2 } x \left( \cot ^ { 2 } x + 1 \right)$
A) $- 1$
B) 1
C) $\cos ^ { 2 } x + 1$
D) $\tan ^ { 2 } x$

Question

Quizplus · Accepted Answer

The expression can be simplified using the identity $\cot^2x + 1 = \csc^2x$, and since $\sin^2x \cdot \csc^2x = 1$, the correct answer is 1.

Using a Sum or Difference Identity, Write the Following as an Expression