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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Application +4 | -1

If

\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

ab = -1

, we can deduce that

\tan{\theta} = -\cot{\phi}

, which leads to

\theta - \phi = \frac{\pi}{2}

.

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