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

Question

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

Quizplus · Accepted Answer

The Answer of 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) $\frac { \sqrt { 5 } } { 6 }$

Use the Information Given About the Angle θ, 0 ≤θ csc⁡θ=−32,tan⁡θ>0\csc \theta = - \frac { 3 } { 2 } , \tan \theta > 0 \quadcscθ=−23​,tanθ>0

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