James E.

asked • 09/02/20

If cosθ=12/13 and cotθ < 0. find the exact value of sin(θ) and tan(θ).

If cosθ=12/13 and cotθ < 0. find the exact value of sin(θ) and tan(θ).


How would I sketch this in an x-y plane?

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Doug C. answered • 09/02/20

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James E.

Thank you so much. You mentioned using the Pythagorean theorem to find -5 but since using that would give you two possible answers, -5 and 5 in this case, in a different situation, how would I know which one to use?
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09/03/20

Doug C.

In this case you would use -5 because of the quadrant in which the terminal side of the angle is located. In the 4th quadrant y coordinates are negative (below the x axis). If you were finding a missing x coordinate and the terminal side was in either the 2nd or 3rd quadrant the missing "x" would be negative.
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09/03/20

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