Question

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

Answer 1

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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