Question

Sketch one cycle of y= -3 sin θ

Answer 1

Step-by-step explanation:

One cycle of the function runs from 0 to 2 pi.

To sketch one cycle one -3 sin θ, we first plot find some points that lie on it and then plot them to sketch the graph.

We evaluate the function at 0, pi/2, and 2pi.

`\begin{gathered} y(0)=-3\sin 0=0 \\ y((\pi)/(2))=-3\sin (\pi)/(2)=-3 \\ y(2\pi)=-3\sin 2\pi=0 \end{gathered}`

We now sketch the three points we found above.

Hence, we get the graph of the function for one cycle.