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27 September, 11:21

If tan theta = 4/3, and lies in the third quadrant, write the correct ratio for sin theta, cos theta, sec theta, csc theta, and cot theta

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  1. 27 September, 12:00
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    Tan∅=4/3

    SohCahToa ...

    Sine=Opposite/Hypotenuse

    Cosine=Adjacent/Hypotenuse

    Tangent=Opposite/Adjacent

    Opposite=4

    Adjacent=3

    BUT, since it's in the third quadrant, they're both negative.

    Opposite=-4

    Adjacent=-3

    Solve for the hypotenuse ... (-4) ² + (-3) ²=c²

    c=5

    Sine=-4/5

    Cosine=-3/5

    Secant=-5/3

    Cosecant=-5/4

    Cotangent=3/4
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