Use the properties of inverse trigonometric functions to evaluate the expression. $\sin [ \arcsin ( - 0.4 ) ]$
A) $\sin ^ { - 1 } 0.4$
B) $\sin ( - 0.4 )$
C)0.4
D) $- 0.4$
E) $\frac { \pi } { 0.4 }$

Question

Use the properties of inverse trigonometric functions to evaluate the expression.   $\sin [ \arcsin ( - 0.4 ) ]$  
A) $\sin ^ { - 1 } 0.4$
B) $\sin ( - 0.4 )$
C)0.4
D) $- 0.4$
E) $\frac { \pi } { 0.4 }$

Quizplus · Accepted Answer

The expression $\sin [ \arcsin ( - 0.4 ) ]$ simplifies directly to $-0.4$ because the $\sin$ and $\arcsin$ functions are inverses of each other, thus canceling out and leaving the argument $-0.4$.

Use the Properties of Inverse Trigonometric Functions to Evaluate the Expression