## babydoll332 3 years ago Find the exact value of sin-1(-0.5).

1. babydoll332

pi/3 correct?

2. satellite73

no because $\sin(\frac{\pi}{3})=\frac{1}{2}$ not $$-\frac{1}{2}$$ but you have the right idea

3. satellite73

go the other way on the unit circle to $$-\frac{\pi}{3}$$

4. babydoll332

ok so -pi/3

5. babydoll332

it makes sense

6. satellite73

yup don't forget your answer has to be between $$-\frac{\pi}{2}$$ and $$\frac{\pi}{2}$$ which is why you are not allowed to say $$\frac{2\pi}{3}$$ for example

7. babydoll332

got :))

8. satellite73

good!