Find the Exact Value of the Expression $\cos \left( \tan ^ { - 1 } \frac { 5 } { 12 } - \cos ^ { - 1 } \frac { 4 } { 5 } \right)$

question 7

Multiple Choice

Find the exact value of the expression.
- $\cos \left( \tan ^ { - 1 } \frac { 5 } { 12 } - \cos ^ { - 1 } \frac { 4 } { 5 } \right)$

• A) \(\frac { 52 } { 65 }\)
• B) \(\frac { 63 } { 65 }\)
• C) \(\frac { 13 } { 24 }\)
• D) \(\frac { 7 } { 13 }\)