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
bp
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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