Solving Trigonometric Equations Using Substitution for Angles

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This video explains how to solve a trig equation on a given interval by performing substitution for the given angle.
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this updated version is great - thank you for explaining the coterminal process!

danielleditenhafer
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Why would you add another 360 degrees to 10 degrees if the range is 0-360. I get that when you divide it by 3 it falls in the region but it's still ambiguous to why we are able to do that. Does that mean we can just keep adding 360 degrees so long as the solution falls in the range. It still doesn't explain why we are allowed to add 360 degrees.

JustifiedRidiculousOly