Use the Information Given About the Angle θ, 0 ≤θ $\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quad$

Multiple Choice

Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
- $\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quad$ Find $\sin \frac { \theta } { 2 }$ .

A) $- \frac { \sqrt { 10 } } { 10 }$

B) $\frac { \sqrt { 10 } } { 10 }$

C) $\frac { 3 \sqrt { 10 } } { 10 }$

D) $- \frac { 3 } { 10 }$