Decide whether the expression is or is not an identity.
-$$\sqrt { \sin ^ { 2 } x } = \sin x$$
A) Not an identity
B) Identity

Question

Quizplus · Accepted Answer

The expression $\sqrt { \sin ^ { 2 } x } = \sin x$ is not an identity because the square root of a squared value, $\sqrt{\sin^2 x}$, results in the absolute value of the original number, $|\sin x|$, which is not always equal to $\sin x$ itself. This is because $\sin x$ can be negative depending on the value of $x$, but the square root of its square is always non-negative.

Decide Whether the Expression Is or Is Not an Identity sin⁡2x=sin⁡x\sqrt { \sin ^ { 2 } x } = \sin xsin2x​=sinx

Decide Whether the Expression Is or Is Not an Identity $\sqrt { \sin ^ { 2 } x } = \sin x$