50 tan (3 tan ⁻¹(1/2) + 2 cos ⁻¹(1/(5))) + 4 2 tan (1/2 tan ⁻¹(2 2)) is equal to _ _ _ _ _ _.

Trigonometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Morning shift · Q41

JEE Main 202229 Jun, Morning shiftMathematicsMediumTrigonometry118× since 2002

50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)} \right) + 4\sqrt 2 \tan \left( {{1 \over 2}{{\tan }^{ - 1}}(2\sqrt 2 )} \right)

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Trigonometry Question with Answer (29 Jun Morning shift, Q41) | JEE Arc

JEE Main 2022 · 29 Jun, Morning shift · Q41

JEE Main 202229 Jun, Morning shiftMathematicsMediumTrigonometry118× since 2002

50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)} \right) + 4\sqrt 2 \tan \left( {{1 \over 2}{{\tan }^{ - 1}}(2\sqrt 2 )} \right)

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.