Use the properties of inverse trigonometric functions to evaluate the expression. $\arcsin ( \sin 7 \pi )$
A)1
B)-1
C) $\cos ^ { - 1 } 7 \pi$
D)0
E) $\sin ^ { - 1 } 7 \pi$

Question

Use the properties of inverse trigonometric functions to evaluate the expression.   $\arcsin ( \sin 7 \pi )$  
A)1
B)-1
C) $\cos ^ { - 1 } 7 \pi$
D)0
E) $\sin ^ { - 1 } 7 \pi$

Quizplus · Accepted Answer

The expression $\arcsin(\sin 7\pi)$ simplifies to 0 because $7\pi$ is an odd multiple of $\pi$, and the sine of any integer multiple of $\pi$ is 0. The arcsine function, or inverse sine function, then takes this value of 0 and returns the angle whose sine is 0, which is 0.

Use the Properties of Inverse Trigonometric Functions to Evaluate the Expression