SOLUTION: Given F(x)= -2cos(pi times x + pi divided by 6) State the phase and period angle of F(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Given F(x)= -2cos(pi times x + pi divided by 6) State the phase and period angle of F(x)      Log On


   

Question 440209: Given F(x)= -2cos(pi times x + pi divided by 6)
State the phase and period angle of F(x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given F(x)= -2cos(pi times x + pi divided by 6)
State the phase and period angle of F(x)
..
Standard form for cos function: y=Acos(Bx-c)
y=-2cos(pix+pi/6)
Period for cos function=2pi/B=2pi/pi=2
To find phase shift, set (Bx-c)=0, then solve for x
pix+pi/6=0
pix=-pi/6
x=-1/6
ans:
Period=2
Phase Shift=-1/6