Solve the Problem $\sin \theta$ , Given That $\cos 2 \theta = \frac { 1 } { 4 }$

Multiple Choice

Solve the problem.
-Find $\sin \theta$ , given that $\cos 2 \theta = \frac { 1 } { 4 }$ and $0 < \theta < \frac { \pi } { 2 }$ .

A) $\frac { \sqrt { 8 - 2 \sqrt { 10 } } } { 4 }$

B) $\frac { \sqrt { 10 - 2 \sqrt { 6 } } } { 4 }$

C) $\frac { \sqrt { 6 } } { 4 }$

D) $\frac { \sqrt { 10 } } { 4 }$