# A function has a maximum at (0°,2) and a minimum at (60°,-4)in one period.?

a) Represent the function with an equation using a cosine function.

b) Represent the function with an equation using a sine function.

### 1 Answer

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- Φ² = Φ+1Lv 72 months ago
f(x) = a cos(bx + c) + d

d = (2 + -4)/2 = -1

a = |2 - -4|/2 = 3

c = 0

b = (90/(60 - 0)) = 3/2

f(x) = 3 cos(3x/2) - 1

90 degree phase shift for sin:f(x) = 3 sin(3x/2+90°) - 1

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