Chapter 13.7, Problem 44HP

To determine

To find: Amplitude of given function.

Answer to Problem 44HP

Amplitude $=2$

The Negative sign makes the graph reflected over the x-axis.

Explanation of Solution

Given information:

  $y=-2\sin \theta$

Concept:

If a function is in the form

  $y=a\sin \left(bx\right)$

Then

Amplitude $=\left|a\right|$

Period $=\frac{2\pi }{\left|b\right|}$

Given

  $y=-2\sin \theta$

On comparing with $y=a\sin \left(bx\right)$

We get

  $a=-2$

Therefore,

Amplitude $=\left|a\right|=\left|-2\right|=2$

Therefore,

Amplitude $=2$

The Negative sign makes the graph reflected over the x-axis.