Complete the identity.
-$$\csc ^ { 2 } \frac { \theta } { 2 } = ?$$
A) $\frac { 2 } { 1 - \cos \theta }$

B) $\frac { 1 - \sec \theta } { 2 }$

C) $\frac { 2 } { 1 + \sin \theta }$

D) $\frac { 1 + \sec \theta } { 2 }$

Question

Complete the identity.
-$$\csc ^ { 2 } \frac { \theta } { 2 } = ?$$
A) $\frac { 2 } { 1 - \cos \theta }$

B) $\frac { 1 - \sec \theta } { 2 }$

C) $\frac { 2 } { 1 + \sin \theta }$

D) $\frac { 1 + \sec \theta } { 2 }$

Quizplus · Accepted Answer

The identity $\csc ^ { 2 } \frac { \theta } { 2 } = \frac { 2 } { 1 - \cos \theta }$ is derived from the half-angle identity for cosine.

Complete the Identity csc⁡2θ2=?\csc ^ { 2 } \frac { \theta } { 2 } = ?csc22θ​=?