Write the value of cos-1(tan \(\frac{3\pi}4\)). – InterviewSolution

1.

Write the value of cos-1(tan \(\frac{3\pi}4\)).

Answer»

Given cos^-1 (tan 3π/4)

= cos ^-1 (tan (π - π/4))

We know that tan (π – θ) = - tan θ

= cos^-1 (-tan π/4)

= cos ^-1 (-1)

We know that cos^-1 x = π

∴ cos -1 (tan 3π/4) = π

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