jee-main 2022 Q70

jee-main · India · session1_26jun_shift2 Reciprocal Trig & Identities

If the inverse trigonometric functions take principal values, then $\cos ^ { - 1 } \left( \frac { 3 } { 10 } \cos \left( \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right) \right) + \frac { 2 } { 5 } \sin \left( \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right) \right) \right)$ is equal to
(1) 0
(2) $\frac { \pi } { 4 }$
(3) $\frac { \pi } { 3 }$
(4) $\frac { \pi } { 6 }$

If the inverse trigonometric functions take principal values, then $\cos ^ { - 1 } \left( \frac { 3 } { 10 } \cos \left( \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right) \right) + \frac { 2 } { 5 } \sin \left( \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right) \right) \right)$ is equal to\\
(1) 0\\
(2) $\frac { \pi } { 4 }$\\
(3) $\frac { \pi } { 3 }$\\
(4) $\frac { \pi } { 6 }$

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