trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

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  1. make a sketch of your triangle
    since sinØ = opposite /hypotenuse = 5/13
    opposite = 5 and hypotenuse = 13
    by Pythagoras:
    x^2 + 5^2 = 13^2
    x^2 +25 = 169
    x^2 = 144
    x = ± 12 , but in quadrant II, x = - 12

    sinØ = 5/13 , cscØ = 13/5
    cosØ = -12/13 , secØ = - 13/12
    tanØ = 5/-12 = -5/12 , cot Ø = -12/5

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  2. 6 6-6sin(0=?

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