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About Steve Holleran
Expertise
I can help with all math questions from basic math to Calculus. Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.

Experience
33 years teaching experience in NJ public schools

Education/Credentials
B.S. Mathematics : Wake Forest University 1972 M.S. Mathematics : Monmouth University 1981

You are here: Experts > Science > Mathematics > Advanced Math > Trig

Topic: Advanced Math

Expert: Steve Holleran
Date: 5/7/2008
Subject: Trig

Question
For f(x) = 2 sin(2x+Pi/4)

The amplitude= ?
The period=?
the phase shift-?

Answer
Hi Cameron,

Okay, we've got f(x) = 2 sin(2x + pi/4)

The amplitude is the absolute value of the multiplier in the front of the sine function, so ampl = 2.

The period is always 2pi divided by the coefficient of x; here, the coefficient is 2, so the period = 2pi/2 = pi.

To get the phase shift, set the argument, 2x + pi/4, = 0 and solve for x:

2x + pi/4 = 0 --> 2x = -pi/4 --> x = -pi/8 . This is a shift to the left by pi/8 units.

Hope this helps out.

Steve

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