jee-main 2026 Q22

jee-main · India · session1_28jan_shift2 Reciprocal Trig & Identities
By the princibal of inverse trigonometric function, the value of $\tan \left( 2 \sin ^ { - 1 } \left( \frac { 2 } { \sqrt { 13 } } \right) - 2 \cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 10 } } \right) \right)$ is (A) $\frac { 31 } { 55 }$ (B) $\frac { 33 } { 56 }$ (C) $\frac { 32 } { 59 }$ (D) $\frac { 38 } { 55 }$
By the princibal of inverse trigonometric function, the value of $\tan \left( 2 \sin ^ { - 1 } \left( \frac { 2 } { \sqrt { 13 } } \right) - 2 \cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 10 } } \right) \right)$ is
(A) $\frac { 31 } { 55 }$
(B) $\frac { 33 } { 56 }$
(C) $\frac { 32 } { 59 }$
(D) $\frac { 38 } { 55 }$