Question

Hello I know this looks like a big list but I was just showing the directions it gave at the very top as you see. I need help with 17 or 18.

Answer 1

As given by the question

(17)

There are given that the equation

`\sin (3\theta)=1`

Now,

From the general solution for the given equation

`3\theta=(\pi)/(2)+2\pi n`

Then,

Solve above solution

So, divide by 3 on both side of the equation

`\begin{gathered} 3\theta=(\pi)/(2)+2\pi n \\ (3\theta)/(3)=((\pi)/(2)+2\pi n)/(3) \\ \theta=(\pi)/(6)+(2\pi n)/(3) \end{gathered}`

Hence, the value of the given equation is shown below:

`\theta=(\pi)/(6)`