How do you graph and list the amplitude, period, phase shift for #y=tan(theta-pi/2)-2#?

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Answer 1 · 2017-11-19T12:40:44

See below.

Amplitude:

The tangent function has no definable amplitude. This is because:

as #theta->pi/2color(white)(8888)tantheta->oo# which is undefined.

Period:

period of #tantheta=pi#

period of #tan(theta-pi/2)-2=pi# ( No change in period )

Phases shift:

Subtracting #pi/2# from #theta# causes a shift in the positive/right direction by #pi/2#

Plots:

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