How do you find the exact value of sin−1(12)?

1 Answer
Bdub
Oct 13, 2016

θ=30∘+360n∘,andθ=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 θ=30∘. But since sine is positive in quadrants I and II it means that we will have two sets of answers. That is, θ=30∘+360n∘,andθ=150∘+360n∘.

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