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

Question

Quizplus · Accepted Answer

The cosecant function is negative in the third quadrant, so the angle must be in the third quadrant. The reference angle for -2 is 2, which is in the first quadrant. The angle in the third quadrant that has a reference angle of 2 is -2, so the exact value of y is -π/6.

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

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