Find the exact value of the real number y.
-$$y = \csc ^ { - 1 } \text { (2) }$$
A) $\frac { \pi } { 3 }$
B) $- \frac { \pi } { 6 }$
C) $\frac { \pi } { 6 }$
D) $- \frac { \pi } { 3 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. Therefore, $\csc^{-1}(2)$ asks for the angle whose sine is $1/2$. The angle in the first quadrant that satisfies this is $\pi/6$ radians.

Find the Exact Value of the Real Number Y y=csc⁡−1 (2) y = \csc ^ { - 1 } \text { (2) }y=csc−1 (2)

Find the Exact Value of the Real Number Y $y = \csc ^ { - 1 } \text { (2) }$