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How do I do this? Thanks.If Sin(theta) = 1/3 and cos(theta) < 0, find the value(s) for tan(theta)

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How do I do this? Thanks.If Sin(theta) = 1/3 and cos(theta) < 0, find the value(s) for tan(theta)

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mathwonk

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HallsofIvy

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Take the arc sin of 1/3 - this will give you the angle, but it will be the principle angle (first quadrant). But, since Cos theta <0, you know it can't be in the first quadrant or fourth quadrant, so it must be in either the second or third quadrant. But, since sin theta is >0, it must be in the second quadrant. You should be able to get the correct angle from this info, and therefore the correct cosine and then - as was hinted before - remember the definition of tangent theta.404 said:How do I do this? Thanks.

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I got it now, Thanks guys :)

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