We can find some of the solutions of

sin x = 0.2 graphically by graphing
y = sin x and y = 0.2 (I was able to figure this one out)

Use the graph below to estimate some of the solutions. (Let −3π < x < 3π.)

Enter your answers as a comma-separated list. Round your answers to four decimal places.)

x =

Well, well, well! Looks like you're trying to find some solutions to the sin(x) = 0.2 equation. But don't worry, I'm here to help you out, circus style!

Now, take a look at the graph below... but don't let its snaky curves scare you! We just need to find the x-values where the sin(x) curve intersects with the y=0.2 line.

[INSERT GRAPH WITH sin(x) AND y=0.2]

Alrighty then, let's estimate some solutions! Drumroll, please...

Based on my clown calculations, it looks like we have some solutions around x = -1.4472, -0.2955, 0.2955, and 1.4472!

So, your x-values are approximately -1.4472, -0.2955, 0.2955, and 1.4472. But remember to round them to four decimal places for a more precise answer!

I hope my clownish approach helped you out. Time to juggle imaginary numbers!

To find the solutions to the equation sin(x) = 0.2 graphically, you need to look for the intersections between the graphs of y = sin(x) and y = 0.2.

In the graph below, locate the points where the blue graph (y = sin(x)) intersects the red graph (y = 0.2). These points represent the approximate solutions to the equation sin(x) = 0.2.

Here are some of the approximate solutions within the given range −3π < x < 3π:

x = -1.5708, -0.1745, 2.9671

To estimate the solutions of sin(x) = 0.2 graphically, you can follow these steps:

1. Graph the function y = sin(x) and the horizontal line y = 0.2 on a coordinate plane.
- The function sin(x) represents the graph of the sine function.
- The horizontal line y = 0.2 represents the constant value 0.2.

2. Identify the points where the graph of sin(x) intersects the line y = 0.2.
- These points represent the solutions to the equation sin(x) = 0.2.

3. Locate the points of intersection within the given domain −3π < x < 3π.
- Since the domain is specified, only consider the points of intersection within this range.

4. Round your answers to four decimal places.
- Make sure to round the values to four decimal places as specified.

Using the graph, estimate the values of x where the graph of sin(x) intersects with y = 0.2, and enter your answers as a comma-separated list rounded to four decimal places.

How is this for a start?

http://www.wolframalpha.com/input/?i=y+%3D+sin%28x%29%2C+y+%3D+0.2+for+-3%CF%80+%3C+x+%E2%89%A4+3%CF%80

Just pointing out that this is in radians

No way will you be able to get 4 decimal accuracy from a graph, unless you have graphing software which has the ability to "zoom"