Give the exact value of the expression.
-$\csc \left( \sin ^ { - 1 } \frac { 18 } { 30 } \right)$

Question

Quizplus · Accepted Answer

The expression $\csc(\sin^{-1}(\frac{18}{30}))$ simplifies to $\csc(\sin^{-1}(\frac{3}{5}))$. The $\csc$ function is the reciprocal of the $\sin$ function, so this simplifies further to the reciprocal of $\frac{3}{5}$, which is $\frac{5}{3}$. Simplifying the fraction $\frac{5}{3}$ to match the answer choices gives $\frac{30}{18}$, which is choice B.

Give the Exact Value of the Expression csc⁡(sin⁡−11830)\csc \left( \sin ^ { - 1 } \frac { 18 } { 30 } \right)csc(sin−13018​)

Give the Exact Value of the Expression $\csc \left( \sin ^ { - 1 } \frac { 18 } { 30 } \right)$