Question

Considering only the principal values of the inverse trigonometric functions, the value of
$\tan(\sin^{-1}(\frac{3}{5})-2\cos^{-1}(\frac{2}{\sqrt5}))$
is

• A. $\frac{7}{24}$
• B. $\frac{-7}{24}$
• C. $\frac{-5}{24}$
• D. $\frac{5}{24}$

Answer 1

Answer: (B)

$\frac{-7}{24}$

Answer 2

The correct option is (B):$\frac{-7}{24}$.