Use the Information Given About the Angle θ, 0 ≤θ $\csc \theta = - \frac { 3 } { 2 } , \tan \theta > 0 \quad$

Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
- $\csc \theta = - \frac { 3 } { 2 } , \tan \theta > 0 \quad$ Find $\cos \frac { \theta } { 2 }$ .

A) $- \frac { \sqrt { 3 + \sqrt { 5 } } } { 6 }$

B) $\frac { \sqrt { 18 + 6 \sqrt { 5 } } } { 6 }$

C) $- \frac { \sqrt { 18 - 6 \sqrt { 5 } } } { 6 }$

D) $\frac { \sqrt { 5 } } { 6 }$

Correct Answer:

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