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In a A B C , , if C is a right angle, t...

In a ` A B C ,` , if C is a right angle, then `tan^(-1)(a/(b+c))+tan^(-1)(b/(c+a))=`

A

(a) `pi/3`

B

(b) `pi/4`

C

(c) `(5pi)/2`

D

(d) `pi/6`

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To solve the problem, we are given a right triangle ABC where angle C is the right angle. We need to find the value of the expression: \[ \tan^{-1}\left(\frac{a}{b+c}\right) + \tan^{-1}\left(\frac{b}{c+a}\right) \] ### Step 1: Use the formula for the sum of inverse tangents We can use the formula for the sum of two inverse tangent functions: ...
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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
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  16. Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}] .

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