SOLUTION: Find an equation of a tangent function with period 5𝜋 and phase shift 𝜋/2

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Question 1177757: Find an equation of a tangent function with period 5𝜋 and phase shift 𝜋/2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Standard form of the tangent function is
y=Atan%28Bx-C%29%2BD
where
A+is amplitude
B is the period, determines how wide or narrow the graph is
C is phase shift, determines how the graph is shifted from left to right
D is the vertical shift, determines how the graph is shifted up or down

given:
period =5pi and phase shift=pi%2F2

periodicity of tan is+pi
period+=pi%2FB
5pi=pi%2FB
B=pi%2F5pi
B=1%2F5

phase_+shift+=C%2FB
pi%2F2+=C%2F%281%2F5%29
%28pi%2F2%29+%281%2F5%29=C
C=pi%2F10
your equation is:
y=tan%28%281%2F5%29x-pi%2F10%29+