Help determining intervals, etc. for -
y=100cos(3/4θ + π/4)
(amplitude 100, period 3π/2, phase shift -π/4)
Thanks for any help!
First you have to get rid of the number in front of theta. To do this divide by 3/4. After you do this you should get
y=100Cos3/4(θ+4π/12) You can reduce 4π/12 to π/3
so now amp=100; period= 2π/(3/4) = 8π/3; and phase shift = -π/3
Because you're using Cos, start off at the max amp then move down with each period.
You will have (100, -π/3), (0, 7π/3), (-100, 15π/3 (which is reduced to: 5π)), and so on.
If you were confused about any steps please ask.