If \tan^{-1}a+\tan^{-1}b+\tan^{-1}c=\pi, then prove that a+b+c=abc | Filo
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Class 12

Math

Calculus

Inverse Trigonometric Functions

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If , then prove that .

Solution:
Firstly, let us assume

Now, given that

Taking tangent on both sides, we have
     ......


Thus, Hence proved.
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