How do you evaluate tan^-1(-1/sqrt3) without a calculator?

1 Answer
Binayaka C.
Oct 31, 2016

tan^-1(-1/sqrt3) = -pi/6

Explanation:

Let tan^-1(-1/sqrt3) = theta , then tan theta = -1/sqrt3; tan(-pi/6)=-1/sqrt3 :. theta = -pi/6 or tan^-1(-1/sqrt3) = -pi/6
The range of tan^-1 theta is (-pi/2 , pi/2) and -pi/6 in (-pi/2 , pi/2) [Ans]

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