Find the Exact Value of the Composition $\cos \left( \frac { 1 } { 2 } \arcsin \left( \frac { 5 } { 13 } \right) \right)$

question 407

Multiple Choice

Find the exact value of the composition.
- $\cos \left( \frac { 1 } { 2 } \arcsin \left( \frac { 5 } { 13 } \right) \right)$

• A) \(\frac { 3 \sqrt { 13 } } { 13 }\)
• B) \(\frac { 2 \sqrt { 13 } } { 13 }\)
• C) \(\frac { \sqrt { 26 } } { 26 }\)
• D) \(\frac { 5 \sqrt { 26 } } { 26 }\)

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