JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Medium

1 of 1

Application +4 | -1

The value of

\sin \left(2 \tan ^{-1}(1 / 3)\right)+

\cos \left(\tan ^{-1} 2 \sqrt{2}\right)

View answer and explanation

Correct option: C

14 / 15

Option C (14/15) is correct because by evaluating the sine and cosine terms using trigonometric identities and substituting, we arrive at the correct answer.

More Questions from INVERSE TRIGONOMETRY

Practice All Chapter MCQs →

The value of

\cos ^{-1}(\cos 12)-\sin ^{-1}(\sin 12)

is- Find

\cos ^ {-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9 \pi}{10}-\sin \frac{9 \pi}{10}\right)\right\}=

\sin \left(\sin ^{-1} \frac{1}{5}+\cos ^{-1} x\right)=1

, then

x

is equal to If

{x^2} + {y^2} + {z^2} = {r^2},

then

{\tan ^{ - 1}}\left( {\frac{{xy}}{{zr}}} \right) + {\tan ^{ - 1}}\left( {\frac{{yz}}{{xr}}} \right) + {\tan ^{ - 1}}\left( {\frac{{xz}}{{yr}}} \right)\;

is equal to

2{\tan ^{ - 1}}\left( {\frac{1}{3}} \right) + {\tan ^{ - 1}}\left( {\frac{1}{7}} \right)

is equal to The number of positive integral solutions of the equation

\tan ^{-1} x+\cot ^{-1} y=\tan ^{-1} 4