How do we solve linear trigonometric equations?

Linear Trigonometric equations is a basic algebra problem such as:

3x+5=17

Just how we solve the algebra problem above by isolating the x, we do the same for trigonometric equations. However, the only difference of these equations is the memorization of the value of angles. 

For example: 

sin(x)+2=3 for 0° < x < 360°

We solve this equation just like an algebra equation. We subtract 2 from both sides and we should get sin(x)=1. This is where remembering the value of certain angles come in handy. If you do not remember the value of these angles, you can use your calculator to find out what is the value of sin(x)=1. You use arcsin in order to find out the value. This will appear like this on your calculator: sin-¹.You find the arcsin of 1 which is 90°. Than, you must find the reference angles which equal 1 as well. However, in this case the question above asks angles between 0 and 360. Therefore, the only angle that equals sin(x)=1 is 90°.

Viola! Thats how you solve Trigonometric Equations! 

Try this: 

                             2cos(2x)+1=0