angeladorf1 angeladorf1

13-04-2018
Mathematics

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What are the period and phase shift for f(x) = 3 tan(4x + π)?

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Blitztiger Blitztiger

13-04-2018

For an equation y = a tan[b(x+c)], the period is equal to 2*pi/b, while the phase shift is c.
This equation can be rewritten as:
f(x) = 3 tan [4(x + pi/4)]
In this case, b = 4, c = pi/4
Then the period = 2*pi/b = pi/2.
The phase shift = pi/4 (to the left).

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