Question

I have some trigonometric equations to do, but I'm pretty lost, and I have to get them done in a timely fashion, so any help would be much appreciated.

"Solve the following trig equations. Give all the positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only."

1. sin 2x = (sqrt 3)/2

2. sin 2x - cos x = 0

3. sin (2x - 10degrees) = 1/2

4. cos 2x - sin^2 x/2 + 3/4 = 0

5. sin^2 x = cos^2 x + 1/2

6. cos 4x = sin 2x

7. 3sin x - 4cos x = 2

8. tan (x + 15degrees) = 3tan x

I know it's a lot, but even if you don't do all of them I'd be thankful.

Also, please show your work; the more detail, the better. If I can see what you're doing in detail it will help me understand.