- #1

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sin

Can someone explain how to do this problem by hand. Thanks.

^{-1}(-1/2)Can someone explain how to do this problem by hand. Thanks.

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- Thread starter kg90
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- #1

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sin^{-1}(-1/2)

Can someone explain how to do this problem by hand. Thanks.

Can someone explain how to do this problem by hand. Thanks.

- #2

tiny-tim

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sin^{-1}(-1/2)

Can someone explain how to do this problem by hand. Thanks.

Hi kg90! Welcome to PF!

May I check … do you know how to do sin

- #3

HallsofIvy

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HallsofIvy, I'm not sure..

- #5

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Think about which quadrant you are working in and where sine, cosine, etc. are positive/negative?

- #6

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Think about which quadrant you are working in and where sine, cosine, etc. are positive/negative?

Yeah, but aren't there two quadrants where that would be true?

- #7

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Yes, and therefore on the interval [0, 2pi), there will be 2 answers.

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- #9

tiny-tim

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Hey thanks for replying. I do know how to do most problems like this. I just don't know how you get the negative answer for the problem I posted above. I always end up with a positive.

Yes, and therefore on the interval [0, 2pi), there will be 2 answers.

Hi kg90!

(have a pi: π )

"sin

that's the one in (-π/2,π/2] …

in other words, nearest to 0.

it may help to think of the sin as the y coordinate of the angle …

so sin^{-1}(-1/2) is the angle where the y coordinate is -1/2

so sin

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