Use an identity to write the expression as a single trigonometric function or as a single number.
-$\sin ^ { 2 } x + \sin ^ { 2 } x \cot ^ { 2 } x$
A) $\cot ^ { 2 } x - 1$
B) $\sin ^ { 2 } x + 1$
C) 1
D) $\cot ^ { 2 } x + 1$

Question

Quizplus · Accepted Answer

The expression simplifies to 1 using the identity $\sin^2x + \cos^2x = 1$ and the fact that $\cot^2x = \frac{\cos^2x}{\sin^2x}$.

Use an Identity to Write the Expression as a Single sin⁡2x+sin⁡2xcot⁡2x\sin ^ { 2 } x + \sin ^ { 2 } x \cot ^ { 2 } xsin2x+sin2xcot2x

Use an Identity to Write the Expression as a Single $\sin ^ { 2 } x + \sin ^ { 2 } x \cot ^ { 2 } x$