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if sec theta = -13/5 on the interval(90,180), find the exact value of sin 2 theta

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Kiersten

  1. if secTheta=-13/5, then cosTheta=-5/13
    cos^2 + sin^2=1
    sin^2=1-25/169=144/169
    sinTheta=12/13 (in second quadrant, positive0

    sin(2Theta)=2sinTheta*cosTheta=2(12/13)(-5/13)= you do it.
    check my thinking

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    bobpursley

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