Ex: Solve a Trigonometric Equation Using a Calculator (sin(x)=-0.36)

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This video explains how to find the solutions to a trig equation on the interval [0,2pi) using a calculator.
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how do you know whether to add or subtract though.

cyanntaylor
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i tried this with a sample problem, and when i got to the step where you either add 2pi or subtract from 2pi, i did both and got different answers each time. why does this happen, and how do you know which one is correct?

theLadyofSpoons
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in the 4th quadrant its supposed to be 2pi-theta. I noticed that you kept theta's original negative sign and then changed it for quadrant 3. Why was this? Also quadrant 3 its supposed to be theta - pi, however, you said it was pi+ positive theta. What are the rules for going clockwise?

marin