Choose the one alternative that best completes the statement or answers the question.
Find the exact value of the expression.
-$$\tan \left( \sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 } \right)$$
A) 2
B) $\frac { \sqrt { 2 } } { 2 }$
C) $\sqrt { 2 }$
D) 1

Question

Quizplus · Accepted Answer

The expression $\tan \left( \sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 } \right)$ can be interpreted as finding the tangent of an angle whose sine is $\frac{\sqrt{2}}{2}$. This corresponds to a 45-degree angle (or $\frac{\pi}{4}$ radians) in a right triangle, where the opposite and adjacent sides are equal, making the tangent (opposite/adjacent) equal to 1.

Choose the One Alternative That Best Completes the Statement or Answers