babydoll332

Find the exact value of sin-1(-0.5).

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babydoll332

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pi/3 correct?

anonymous

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

anonymous

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

babydoll332

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ok so -pi/3

babydoll332

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it makes sense

anonymous

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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

babydoll332

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got :))

anonymous

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good!