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Q. If the numerical value of $\tan \left(\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right)$ is $\frac{a}{b}$ then (where $a, b$ are coprime)

Inverse Trigonometric Functions

Solution:

Correct answer is (a) $a+b=23$Correct answer is (b) $a-b=11$Correct answer is (c) $3 b = a +1$