Can someone explain why the inverse trig functions are trapped between those particular numbers.
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They're not really, that's just what the calculator will spit out. Those intervals are auxiliary angles. It's like saying $\sin(30)=\sin(150)$. – Landuros Apr 22 '19 at 01:51
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Why is cosines reference angle able to go up to 180 then – Marlon Henderson Apr 22 '19 at 01:52
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Depending on how much you know, there are different answers to this question. The simplest way I can answer is that if you draw these trigonometric functions, you will realize within these domains, no y value is being repeated. If you would like to know more, you can look up one-to-one correspondence. – Rob Apr 22 '19 at 01:53
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https://en.m.wikipedia.org/wiki/Inverse_trigonometric_functions – lab bhattacharjee Apr 22 '19 at 01:55