Use the Information Given About the Angle θ, 0 ≤θ $\sin \theta = \frac { 1 } { 4 } , \quad 0 < \theta < \frac { \pi } { 2 } \quad$

Multiple Choice

Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
- $\sin \theta = \frac { 1 } { 4 } , \quad 0 < \theta < \frac { \pi } { 2 } \quad$ Find $\sin \frac { \theta } { 2 }$

A) $\frac { \sqrt { 6 } } { 4 }$
B) $\frac { \sqrt { 8 - 2 \sqrt { 15 } } } { 4 }$
C) $\frac { \sqrt { 10 } } { 4 }$
D) $\frac { \sqrt { 8 + 2 \sqrt { 15 } } } { 4 }$