If in a $\Delta \;ABC,\angle A = {\tan ^{ - 1}}2\;{\rm{and}}\;\angle B = {\tan ^{ - 1}}3,\;$ then angle $C$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

If in a

\Delta \;ABC,\angle A = {\tan ^{ - 1}}2\;\mathrm{and}\;\angle B = {\tan ^{ - 1}}3,\;

then angle

C

is equal to

View answer and explanation

Correct option: C

\frac{\pi }{4}

Option C (

\frac{\pi }{4}

) is correct because by using the property that the sum of angles in a triangle is

\pi

and the formula for

\tan^{-1}x + \tan^{-1}y

, we can solve for angle C.

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