Question

Plz help with this question

Answer 1

Answer:

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 $sin3t=-1$

$3t=sin^{-1}(-1)$

$\Rightarrow 3t=-sin^{-1}(1)$

$\Rightarrow 3t=-\frac{\pi}{2}$

$\Rightarrow t=-\frac{\pi}{6}$

$\frac{\pi}{6}=-\frac{1.57}{3}$

So, the minimum point is:$(-\frac{1.57}{3},-2)$