jee-main 2020 Q62

jee-main · India · session2_03sep_shift1 Addition & Double Angle Formulae Addition/Subtraction Formula Evaluation
$2 \pi - \left( \sin ^ { - 1 } \frac { 4 } { 5 } + \sin ^ { - 1 } \frac { 5 } { 13 } + \sin ^ { - 1 } \frac { 16 } { 65 } \right)$ is equal to:
(1) $\frac { \pi } { 2 }$
(2) $\frac { 5 \pi } { 4 }$
(3) $\frac { 3 \pi } { 2 }$
(4) $\frac { 7 \pi } { 4 }$
$2 \pi - \left( \sin ^ { - 1 } \frac { 4 } { 5 } + \sin ^ { - 1 } \frac { 5 } { 13 } + \sin ^ { - 1 } \frac { 16 } { 65 } \right)$ is equal to:

(1) $\frac { \pi } { 2 }$\\
(2) $\frac { 5 \pi } { 4 }$\\
(3) $\frac { 3 \pi } { 2 }$\\
(4) $\frac { 7 \pi } { 4 }$