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

Question

Quizplus · Accepted Answer

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

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 $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$