How do you find the period of #y = 1 + tan(1/2x)#?

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How do you find the period of #y = 1 + tan(1/2x)#?

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Answer 1 · 2015-07-31T16:43:58

#2pi#

Explanation:

The period of #tan(x)# is #pi#. The period of a function of the form #f(x)=A+B tan(Cx)# is #pi/|C|# (the #A# and #B# are irrelevant in determining the period).

For your problem, #C=1/2# so #|C|=1/2# and #pi/|C|=pi/(1/2)=2pi#.

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How do you find the period of #y = 1 + tan(1/2x)#?

1 Answer

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