Inverse trigonometric ideas
The inverse trig functions, arcsin, arccos, and arctan, undo sine, cosine, and tangent: arcsin(0.5) means asking what angle has a sine of 0.5, which turns out to be 30 degrees. Because sine, cosine, and tangent repeat their values over and over, each inverse function is restricted to a specific range of output angles so that it gives one answer instead of infinitely many: arcsin and arctan output angles between -90 and 90 degrees, while arccos outputs angles between 0 and 180 degrees.
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