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## Inverse Trigonometric Functions

### Mathematics

#### Previous Years Questions

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For $$y = {\sin ^{ - 1}}\left\{ {{{5x + 12\sqrt {1 - {x^2}} } \over {13}}} \right\};\left| x \right| \le 1$$, if $$a(1 -... WB JEE 2021 If$$0 \le A \le {\pi \over 4}$$, then$${\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {...
WB JEE 2018
The possible values of x, which satisfy the trigonometric equation $${\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \rig... WB JEE 2017 The solution set of the inequation$${\cos ^{ - 1}}x
WB JEE 2011
Value of $${\tan ^{ - 1}}\left( {{{\sin 2 - 1} \over {\cos 2}}} \right)$$ is
WB JEE 2010
$$\tan \left[ {{\pi \over 4} + {1 \over 2}{{\cos }^{ - 1}}\left( {{a \over b}} \right)} \right] + \tan \left[ {{\pi \o... WB JEE 2009 The value of$$\tan \alpha + 2\tan (2\alpha ) + 4\tan (4\alpha ) + ... + {2^{n - 1}}\tan ({2^{n - 1}}\alpha ) + {2^n}\c...
WB JEE 2008

## Subjective

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If $${r^2} = {x^2} + {y^2} + {z^2}$$, then prove that {\tan ^{ - 1}}\left( {{{yz} \over {rx}}} \right) + {\tan ^{ - 1}...
WB JEE 2011

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