For a particular angle theta, the cosine function f (x) = a cos b (theta) has the following values with in one cycle of the function. f (0) = 4; f (pi/4) = 0; f (pi/2) = - 4; f (3pi/4) = 0; f (pi) = 4 what is the rule for the cosine function? a. y=2 cos 4theta b. y=4 cos 2theta c. y=-4 cos 3theta d. y = 1/4 cos 2theta

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27 March, 11:44

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Mckenzie Wilkerson · Answer 1

Hello,

Answer B

y=4 cos (2θ)

Indeed,

cos 0=1 = = >to make 4, a=4

cos (Π/4) = √2 / 2 Or cos (π/2) = 0==> b=2