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  4. If the value of cot -1 (3/4)+ sin -1 (5/13) is sin -1((a/b)) then find b-a.

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Q. If the value of $\cot ^{-1} \frac{3}{4}+\sin ^{-1} \frac{5}{13}$ is $\sin ^{-1}\left(\frac{a}{b}\right)$ then find $b-a$.

Inverse Trigonometric Functions

Solution:

$\tan ^{-1} \frac{4}{3}+\tan ^{-1} \frac{5}{12}$
$\tan ^{-1}\left(\frac{48+15}{36-20}\right)$
$\sin ^{-1} \frac{63}{65}$