if x if ArcSine 1.5 degrees means the sin(x)=1.5 but the range of the sin(theta) for all angles theta is between o and 1 inclusive. So there is no real answer.
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1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.
General answer: Math Specific Answer: Taylor Series
The sine of 22.5 degrees is 0.383
sine-1(0.3420201433) = 20 degrees
Both the sine and the inverse sine (and similar trigonometric functions) are complicated to calculate. Therefore, you either look it up in a table, or use a scientific calculator. Some values, you should know by heart.Let's try an example: sin x = 0. This asks for the inverse sine, and you can have a calculator calculate it. But you should already know that the sine of 0 is zero, so that is one solution - incidentally, the solution which a calculator gives you if you ask for inverse sine, arc-sine, or something similar (you will usually have to press a special key before the sine function, to get the inverse sine - read the instructions for your calculator).But the sine of x is also equal to zero for an angle of 180 degrees, of 360 degrees, etc. - repeating every 180 degrees (or every pi radians).