SOLUTION: Suppose y=5cos(5t+13)-4. In my answer i am suppose to answer with pi. what is the phase shift and horizontal shift

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose y=5cos(5t+13)-4. In my answer i am suppose to answer with pi. what is the phase shift and horizontal shift      Log On


   



Question 811158: Suppose y=5cos(5t+13)-4. In my answer i am suppose to answer with pi. what is the phase shift and horizontal shift
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose y=5cos(5t+13)−4. In my answer i am suppose to answer with pi. what is the phase shift and horizontal shift
-------
Form:: y = a*cos(b(x-c)) + d
Your problem:
y = 5cos(5(t+(13/5))
a = 5
b = 5
c = -13/5
d = -4
-------------
phaseshift = c/b = -13/5 = -13/5
horizontal shift is phase shift.
==================
Cheers,
Stan H.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
y = a·sin[b(x+c)] + d  or y = a·cos[b(x+c)] + d   

amplitude = |a|
period = 2pi%2Fb
horizontal shift = |c| right if c negative, left if c positive
vertical shift = |d| up if d positive, down if d negative

---------------------------------------------------

y = 5·cos(5t+13) − 4

y = 5·cos[5(t+13%2F5)] - 5 

a=5, b=5, c=13%2F5, d = -5  

amplitude = |5| = 5
period = 2pi%2F5
horizontal shift = |13/5| = 13/5 left since c positive
vertical shift = |-5| = 5 down since d negative

Edwin