If ${\rm{\theta }} = {\tan ^{ - 1}}a,\phi $ =${\tan ^{ - 1}}b\;{\rm{and}}\;ab$=-1,then (${\rm{\theta }} - \phi )$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

\mathrm{\theta } = {\tan ^{ - 1}}a,\phi

{\tan ^{ - 1}}b\;\mathrm{and}\;ab

=-1,then (

\mathrm{\theta } - \phi )

is equal to

View answer and explanation

Correct option: C

\frac{\pi }{2}

Option C (

\frac{\pi}{2}

) is correct because given the condition ab = -1, the difference between the inverse tangents results in

\frac{\pi}{2}

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