If $2{\tan ^{ - 1}}\left( {\cos x} \right) = {\tan ^{ - 1}}\left( {2\;{\rm{cosec}}\;x} \right)$, then the value of $x$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Application +4 | -1

2{\tan ^{ - 1}}\left( {\cos x} \right) = {\tan ^{ - 1}}\left( {2\;\mathrm{cosec}\;x} \right)

, then the value of

x

View answer and explanation

Correct option: B

\frac{\pi }{4}

Option B (

\frac{\pi}{{4}}

) is correct because solving the given trigonometric equation involving inverse tangent and cosecant functions leads to x =

\frac{\pi}{{4}}

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