Find the exact value of the expression. Do not use a calculator.
-$\sin \left[ \sin ^ { - 1 } ( - 0.7 ) \right]$
A) -0.7
B) -1.4286
C) -0.3
D) -1.5523

Question

Quizplus · Accepted Answer

The expression $\sin \left[ \sin ^ { - 1 } ( - 0.7 ) \right]$ simplifies directly to -0.7 because $\sin ^ { - 1 } ( - 0.7 )$ is asking for the angle whose sine is -0.7, and applying $\sin$ to that angle retrieves the original value, -0.7.

Find the Exact Value of the Expression sin⁡[sin⁡−1(−0.7)]\sin \left[ \sin ^ { - 1 } ( - 0.7 ) \right]sin[sin−1(−0.7)]

Find the Exact Value of the Expression $\sin \left[ \sin ^ { - 1 } ( - 0.7 ) \right]$