Factor the trigonometric expression and simplify.
-$1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$
A) $\cos ^ { 4 } x$
B) $\left( 1 - \sin ^ { 2 } x \right)$
C) $\sin ^ { 2 } x$
D) $\left( 1 + \tan ^ { 2 } x \right)$

Question

Quizplus · Accepted Answer

This expression can be rewritten using the identity $\sin^2x = 1 - \cos^2x$. Substituting this into the given expression yields $1 - 2(1 - \cos^2x) + (1 - \cos^2x)^2$, which simplifies to $\cos^4x$.

Factor the Trigonometric Expression and Simplify 1−2sin⁡2x+sin⁡4x1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x1−2sin2x+sin4x

Factor the Trigonometric Expression and Simplify $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$