jee-advanced 2024 Q1

jee-advanced · India · paper2 3 marks Addition & Double Angle Formulae Addition/Subtraction Formula Evaluation
Considering only the principal values of the inverse trigonometric functions, the value of
$$\tan \left( \sin ^ { - 1 } \left( \frac { 3 } { 5 } \right) - 2 \cos ^ { - 1 } \left( \frac { 2 } { \sqrt { 5 } } \right) \right)$$
is
(A) $\frac { 7 } { 24 }$
(B) $\frac { - 7 } { 24 }$
(C) $\frac { - 5 } { 24 }$
(D) $\frac { 5 } { 24 }$
Considering only the principal values of the inverse trigonometric functions, the value of

$$\tan \left( \sin ^ { - 1 } \left( \frac { 3 } { 5 } \right) - 2 \cos ^ { - 1 } \left( \frac { 2 } { \sqrt { 5 } } \right) \right)$$

is\\
(A) $\frac { 7 } { 24 }$\\
(B) $\frac { - 7 } { 24 }$\\
(C) $\frac { - 5 } { 24 }$\\
(D) $\frac { 5 } { 24 }$