Use a calculator to find the approximate value of the expression. Express your answer in radians and round to three
decimal places.
-$\csc ^ { - 1 } ( 1.8292 )$
A) $- 3.720$
B) $3.720$
C) $0.578$
D) $0.733$

Question

Quizplus · Accepted Answer

The cosecant inverse function, $\csc^{-1}(x)$, gives the angle whose cosecant is $x$. Since $\csc(\theta) = 1/\sin(\theta)$, we find $\theta$ such that $\sin(\theta) = 1/1.8292$. Calculating this gives $\theta \approx 0.578$ radians.

Use a Calculator to Find the Approximate Value of the Expression