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

question 2

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) \(\frac { \sqrt { 10 } } { 4 }\)

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