Find the Exact Value of the Expression $\tan \left( \tan ^ { - 1 } \frac { 3 } { 4 } + \sin ^ { - 1 } \frac { 1 } { 2 } \right)$

question 334

Multiple Choice

Find the exact value of the expression.
- $\tan \left( \tan ^ { - 1 } \frac { 3 } { 4 } + \sin ^ { - 1 } \frac { 1 } { 2 } \right)$

• A) \(\frac { 2 \sqrt { 3 } + 2 \sqrt { 10 } } { 9 }\)
• B) \(\frac { 2 \sqrt { 3 } } { 5 }\)
• \(\frac { 2 \sqrt { 6 } } { 5 }\)
• D) \(\frac { 9 + 4 \sqrt { 3 } } { 12 - 3 \sqrt { 3 } }\)