If $a \sin ^{-1} x-b \cos ^{-1} x=c$, then $a \sin ^{-1} x+$ $b \cos ^{-1} x$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

a \sin ^{-1} x-b \cos ^{-1} x=c

, then

a \sin ^{-1} x+

b \cos ^{-1} x

is equal to

View answer and explanation

Correct option: D

\frac{\pi a b+c(a-b)}{a+b}

Option D (

\frac{\pi a b+c(a-b)}{a+b}

) is correct because by solving the system of equations, we can find the value of the expression.

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