Question

Plz help with this question

Answer 1

We have been given a function and its graph.

`y=4 sin(3t)+2`

The first point should be midline of the given function

We can see the coordinate of the midline which is (-3.14,2) will be the first point.

And second point should be maximum or minimum.

So, there is minimum according to the graph.

The minimum point will be at when
`sin3t=-1`

`3t=sin^(-1)(-1)`

`\Rightarrow 3t=-sin^(-1)(1)`

`\Rightarrow 3t=-(\pi)/(2)`

`\Rightarrow t=-(\pi)/(6)`

`(\pi)/(6)=-(1.57)/(3)`

So, the minimum point is:
`(-(1.57)/(3),-2)`