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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