Graph the expression on each side of the equals symbol to determine whether the equation might be an identity.
-$\sqrt { \sin ^ { 2 } x } = \sin x$
A) Not an identity
B) Identity

Question

Quizplus · Accepted Answer

The equation $\sqrt { \sin ^ { 2 } x } = \sin x$ is not an identity because the square root of $\sin^2 x$ yields $|\sin x|$, which equals $\sin x$ for $0 \leq x \leq \pi$ but equals $-\sin x$ for $\pi < x \leq 2\pi$. Thus, the equation does not hold for all values of $x$, specifically where $\sin x$ is negative.

Graph the Expression on Each Side of the Equals Symbol sin⁡2x=sin⁡x\sqrt { \sin ^ { 2 } x } = \sin xsin2x​=sinx

Graph the Expression on Each Side of the Equals Symbol $\sqrt { \sin ^ { 2 } x } = \sin x$