home > q&a board > algebra thru pre-calculus > topic: trigonometric functions

Q BgQuestion:

Scholar
Karma Points: 202
Respect (77%):
posted by  Slawomir on 10/6/2008 10:33:01 AM  |  status: Live  

Trigonometric Functions

Course Textbook Chapter Problem
Precalculus Precalculus (8th) by Sullivan N/A N/A
Question Details:
Find the amplitude, period, and phase shift of a function. Graph it and label each key points. Show at least 2 periods.
 
y=3cos(2x+π)
Bonus Point Alert! Earn +2 additional karma points for helping this annual member.

AAnswers:

Answer Question
Guru
Karma Points: 2,215
posted by raiderx on 10/6/2008 10:36:19 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
amplitude = 3 because the cos cannot be greater to 1 so 3*1 =3
i'm working on the period and phase
_____________________________________________________________________
 
ok here is the complete explanation

The general formula for sine: y = Asin(Bx - C) + D.

The general formula for cosine: y = Acos(Bx - C) + D.

 A  amplitude of the function
B  stretch/shrink on the x-axis. (It compresses or expands the graph.)

            B has the following relationship with the period:

            , where P is the period.
C/B  the phase shift of the graph (the shift left (if C/B is neg.) or right (if C/B is pos.))

D  the vertical shift of the graph.
"Dwell on the here and now, before it is there and gone." (Aubrey Charasz) Please rate all my answers, and if you still have doubts dont hesitate to ask
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different than tutoring »

Need Help In

Useful Links