How do you show that inverse tan (1/x) = pi/2-theta, given that x is a positive number and theta = inverse tanx?

1 Answer
Nov 22, 2017

As explained below.

Explanation:

The question written in terms of mathematical symbols would be tan^(-1) (1/x)= pi/2- theta

This means 1/x= tan (pi/2 -theta) -> 1/x= cot theta -> x= tan theta

Hence theta= tan^ (-1) x

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