Use Identities to Find the Indicated Value for Each Angle $\cos 2 \theta = - \frac { 5 } { 7 }$

question 137

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\cos 2 \theta = - \frac { 5 } { 7 }$ and $\frac { \pi } { 2 } < \theta < \pi \quad$ Find $\sin \theta$

• A) \(\sin \theta = \frac { \sqrt { 42 } } { 6 }\)
• B) \(\sin \theta = 0\)
• C) \(\sin \theta = \frac { \sqrt { 42 } } { 7 }\)
• D) \(\sin \theta = - \frac { \sqrt { 42 } } { 7 }\)

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