Use an identity to write the expression as a single trigonometric function or as a single number.
-$1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$
A) $\sin ^ { 2 } x$
B) $\cos ^ { 4 } x$
C) $\left( 1 - \sin ^ { 2 } x \right)$
D) $\left( 1 + \tan ^ { 2 } x \right)$

Question

Quizplus · Accepted Answer

This expression can be simplified using the Pythagorean identity $\sin^2x + \cos^2x = 1$. Rewriting the given expression as $1 - 2(1 - \cos^2x) + (1 - \cos^2x)^2$, simplifies to $\cos^4x$.

Use an Identity to Write the Expression as a Single 1−2sin⁡2x+sin⁡4x1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x1−2sin2x+sin4x

Use an Identity to Write the Expression as a Single $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$