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nikdorinn [45]
3 years ago
7

PLEASE HELP....!!!!!! Need answer ASAP, so confused

Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer:

b. \ y=3cos(3\theta)

Step-by-step explanation:

The cosine function is a trigonometric function whose curve is symmetric with respect to the y-axis, hence this function is said to be even. This function has the following form:

y=acos(b \theta)

The amplitude of the plotted graph is 3 that represents half the distance  between the maximum and minimum values. Since at x = 0, y = 3, this y-value is the value of a. On the other hand, the period, which is the length of one cycle of the curve, can be found as T=\frac{2\pi}{3} and:

T=\frac{2\pi}{b} \therefore b=\frac{2\pi}{T}=\frac{2\pi \times 3}{2\pi}=3

Finally:

\boxed{y=3cos(3\theta)}

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