Question

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

Answer 1

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

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=(2\pi)/(3)` and:

`T=(2\pi)/(b) \therefore b=(2\pi)/(T)=(2\pi * 3)/(2\pi)=3`

Finally:

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