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MAKE SURE YOUR CALCULATOR IS IN DEGREES. Okay, now that we have that settled, this blog will be on the inverse of trig functions. For every inverse, you will have at least two answers.

The first thing to do is plug the problem into your calculator, completely ignoring if the number is negative or positive.

Now you have to look at the problem and decide in which quadrants your answer will be in. (Where is sin negative?, etc.)

Then you have to move your answer to the right quadrants:
1^st quadrant : do nothing
2^nd quadrant: make the number negative and add 180 degrees
3^rd quadrant: add 180 degrees
4^th quadrant: make the number negative and add 360 degrees

Ex. sin^-1 ( -3/4 )

1. Plug into calculator and round to three decimal places: 48.590
2. Sin is negative in the third and fourth quadrant
3. Third quadrant: 48.590 + 180 = 228.590
   Fourth quadrant: -48.590 + 360 = 311.410
4. Convert final answers to degrees, minutes, and seconds:
   228.590 = 228° 35' 24''
   311.410 = 311° 24' 36''