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

Question 407

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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