1.

Write the value of \(cos(\frac{tan^{-1}x+cot^{-1}x}{3})\), when x = \(-\frac{1}{\sqrt{3}}\).

Answer»

Given \(cos(\frac{tan^{-1}x+cot^{-1}x}{3})\) when x = \(-\frac{1}{\sqrt{3}}\)

We know that tan-1 x + cot-1 x = π/2

= cos (π/6) 

= √3/2



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