Write a tangent function

Algebra
Tutor: None Selected Time limit: 1 Day

Write a tangent function, h(x), such that the halfway points on one period are (-pi/2, -2) and (pi/2, 4).

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

the tangent function is tan(x+pi/2)-2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

Hi Fatin. Would you please show your work - how you figured out the values of b, h, and k, etc.? Thank you.

Jun 4th, 2015

ok, please wait for a moment, I'm in the middle of an exam, hope you don't mind :) thanks

Jun 4th, 2015

Write a tangent function, h(x), such that the halfway points on one period are (-pi/2, -2) and (pi/2, 4).

assume y=a tan(b(x-h))+k

a=amplitude
b=w (omega)
h=horizontal shift
k=midline

b=2pi/T=2pi/(4pi)=1/2

a=(4-(-2))/2=6/2=3

thus we have y=3tan(0.5x-0.5h)+k, plug in the two points we get:

-2=3tan(-pi/4-0.5h)+k

4=3tan(pi/4-0.5h)+k

if you solve the system of equations, you will get h=pi/2, k=1

thus the equation is y=3 tan(1/2x-pi/4)+1

sorry I got the answer wrong the first time....please don't be mad....I didn't have enough time, sorry...



Jun 4th, 2015

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