JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Analyzing +4 | -1

a,\;b,\;c

be positive real number and the value of

\mathrm{\theta } = {\tan ^{ - 1}}\sqrt {\frac{{a\left( {a + b + c} \right)}}{{bc}}} + {\tan ^{ - 1}}\sqrt {\frac{{b\left( {a + b + c} \right)}}{{ca}}} + {\tan ^{ - 1}}\sqrt {\frac{{c\left( {c + b + c} \right)}}{{ab}}}

Then tan

\mathrm{\theta }

is equal to

View answer and explanation

Correct option: A

Option A (0) is correct because after substituting and simplifying, the expression inside the tangent function becomes zero, resulting in tan θ = 0.

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