SOLUTION: write an equation for a cosine function of amplitude=5, period= 45 degrees, and phase shift= -180 degrees

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Question 511863: write an equation for a cosine function of amplitude=5, period= 45 degrees, and phase shift= -180 degrees
Answer by lwsshak3(11628) About Me  (Show Source):
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write an equation for a cosine function of amplitude=5, period= 45 degrees, and phase shift= -180 degrees
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Standard form of equation for cosine function: y=Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
For given equation:
Amplitude=5
..
Period=2π/B=45º=π/4 radians
2π/B=π/4
B=8
..
Phase shift=-180º=π=C/B=C/8 (phase shift to the left)
C=8π
..
Equation for given cosine function: y=5Cos(8x+8π)