How do you find the exact value of #sin^-1(1/2)#?

1 Answer
Bdub
Oct 13, 2016

#theta=30^@+360n^@, and theta=150^@+360n^@#.

Explanation:

You are looking for an angle whose opposite side is 1 and hypotenuse is 2. That triangle is the #30^@-60^@-90^@# triangle. Therefore, the angle that is opposite from 1 is #theta=30^@#. But since sine is positive in quadrants I and II it means that we will have two sets of answers. That is, #theta=30^@+360n^@, and theta=150^@+360n^@#.

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