Sketch trig curve and its inverse and state geometric relationship

Sketch a trigonometric function and its inverse on the same axes and describe the geometric relationship between them (e.g. reflection in y = x).

1 questions · Moderate -0.8

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Pre-U Pre-U 9794/1 2014 June Q2

3 marks Moderate -0.8

2 Sketch the curve with equation \(y = \tan x\) for \(- \frac { 1 } { 2 } \pi < x < \frac { 1 } { 2 } \pi\).
On the same diagram, sketch the curve with equation \(y = \tan ^ { - 1 } x\) for all \(x\).
State the geometrical relationship between the curves.