Principal value of tan-1(- 1) is :(a) 45°(b) 135°(c) – 45°(d) – – InterviewSolution

1.

Principal value of tan-1(- 1) is :(a) 45°(b) 135°(c) – 45°(d) – 60°

Answer»

Answer is (c)

∵ tan^-1(- x)= – tan^-1 x

tan^-1 (-1) = – tan^-1(1)

Let tan^-11 = θ

∴ tan θ = 1

⇒ tan θ = tan 45°

∴ θ = 45°

∴ tan^-1(-1) = – 45°

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