Watch this video to learn about solving trigonometric equations. Let's remind ourselves of what the sine graph looks like so that we can see how many solutions we should be expecting: Therefore ...

The period is 360° so to find the next solutions subtract 360°. The solutions to the equation \(\sin{x} = 0.5\) are: \(x\) = -330°, -210°, 30° and 150°. Draw the horizontal line \(y = 0.75\).