Question

The value of tan $\left\lbrack \cos^{- 1}\left( \frac{4}{5} \right) + \tan^{- 1}\left( \frac{2}{3} \right) \right\rbrack$is:

• A. 6/17
• B. 7/16
• C. 16/7
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

tan cos^–1 $\frac{4}{5}$= $\frac{3}{4}$, tan tan^–1$\frac{2}{3}$= $\frac{2}{3}$̃ expression in the

question = $\frac{3/4 + 2/3}{1 - 3/4 \times 2/3}$= $\frac{17}{6}$

̃ Choice [D] is correct.