jee-main 2022 Q69

jee-main · India · session2_26jul_shift1 Addition & Double Angle Formulae Multi-Step Composite Problem Using Identities
$\tan \left( 2 \tan ^ { - 1 } \frac { 1 } { 5 } + \sec ^ { - 1 } \frac { \sqrt { 5 } } { 2 } + 2 \tan ^ { - 1 } \frac { 1 } { 8 } \right)$ is equal to:
(1) 1
(2) 2
(3) $\frac { 1 } { 4 }$
(4) $\frac { 5 } { 4 }$
$\tan \left( 2 \tan ^ { - 1 } \frac { 1 } { 5 } + \sec ^ { - 1 } \frac { \sqrt { 5 } } { 2 } + 2 \tan ^ { - 1 } \frac { 1 } { 8 } \right)$ is equal to:\\
(1) 1\\
(2) 2\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 5 } { 4 }$