Find the Exact Value of the Expression $\cos \left[ 2 \sin ^ { - 1 } \left( - \frac { 5 } { 13 } \right) \right]$

question 135

Multiple Choice

Find the exact value of the expression.
- $\cos \left[ 2 \sin ^ { - 1 } \left( - \frac { 5 } { 13 } \right) \right]$

• A) \(\frac { 119 } { 169 }\)
• B) \(\frac { 10 } { 13 }\)
• C) \(- \frac { 12 } { 13 }\)
• D) \(\frac { 2 \sqrt { 5 } + 10 } { 13 }\)

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