Find all Angles between 0 and 360 whose sine is 0.6432

Answer 1

Start by drawing a picture. Since sine is opposite / hypoteneuse, it will be positive whenever the angle is in the 1st or second quadrants (where y is positive). In the first quadrant, we have theta = arcsin(0.6432). In the 2nd quadrant, the angle will be 180 - theta

Answer 2

I just answered a question for you in which I mentioned the mnemonic AllSinTanCos.

From this you can see that you are looking for angles in quadrants I and II

The angles are 40.030851° and 139.969149°.