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If , prove that .

Mathematics20184 marksDerivation
If $\tan^{-1}a + \tan^{-1}b + \tan^{-1}c = \pi$, prove that $a + b + c = abc$.

Given: $\tan^{-1}a + \tan^{-1}b + \tan^{-1}c = \pi$

To show: $a + b + c = abc$

Answer

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Inverse Trigonometric Functions

From ISC 2018 Mathematics Paper 1, question 3.