Posted by **Kasey** on Wednesday, December 17, 2008 at 5:09pm.

How would I state the phase shift of y=cos(θ-pi/3) & then graph it?

Step by step would be awesome, I was out sick and needed to do a worksheet to catch up!

- Trig help -
**Reiny**, Wednesday, December 17, 2008 at 5:54pm
first make a sketch of y=cosθ

then translate it pi/3 radians to the **right**

in general for y=cos(θ-k) move y=cos(θ)to the right k radians

or for y=cos(θ+k) move y=cos(θ)to the left k radians

if there is a coefficient in front of the angle you have to factor out that coefficient to show the phase shift

e.g. y=cos(3θ-pi/2)

becomes y=cos3(θ-pi/6) , so the phase shift is pi/5 to the right

- Correction on Trig help -
**Reiny**, Wednesday, December 17, 2008 at 5:55pm
last line should have said:

becomes y=cos3(θ-pi/6) , so the phase shift is pi/6 to the right

(keystroke error)

## Answer This Question

## Related Questions

- Algebra II - State the phase shift of y=cos(theta-[pi/3]). Then graph the ...
- Trig help? - The question is: State the vertical shift and the equation of the ...
- Trig - The graph of y-7 cosθ + 24 sinθ would be a sinusoid if it were ...
- Math - Find the exact roots of 0= x^2 -7x +7 I think you have to use the ...
- Trig - 1)y=1-tan(3pi-2x) Find period and phase shift 2)y=-sin(5x+3) Find ...
- Pre-Calc/Trig... - Am I right? Consider the function y=x^2+5x-2. What would ...
- Math - Calculus - The identity below is significant because it relates 3 ...
- Trig - sum and difference formulas - Write the expression as a single ...
- trig - Graph three periods of the function. (identify period and phase shift and...
- Trig - 2.Graph f(x) = 1/4 cos(1/2 x + pi/2). Find the amplitude, period, and ...

More Related Questions