Write the value of \(tan^{-1}(\frac{1}{x})\) for x < 0 in terms of co – InterviewSolution

1.

Write the value of \(tan^{-1}(\frac{1}{x})\) for x < 0 in terms of cot–1(x).

Answer»

Given tan^-1 (1/x)

\(=tan^{-1}(-\frac{1}{x})\) for x < 0

\(=tan^{-1}(\frac{1}{x})\)

= cot^-1 x

= - (π – cot^-1 x)

= - π + cot^-1 x

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