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calculus

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What is the exact value of sin(2 theta) if cos (theta)=3/5 and (theta) is in quadrent 4?

12/25
24/25
-12/25
-7/25
-24/25

  • calculus -

    cos(theta) = 3/5

    Use your calculator:

    cos-1(3/5) = theta = 53.13 degrees
    This is the value that your calculator gives, and it is in quadrant; To find the value theta corresponding to quadrant 4, notice the symmetry in a graph of cos x, which is that cos(x), cos(x) = cos(360 - x); 306.87 = theta in quadrant 4
    quadrant 1 (0 - 90 degrees)
    quadrant 2 (90 - 180 degrees)
    quadrant 3 (180 - 270 degrees)
    quadrant 4 (270 - 360 degrees)

    Use your calculator to calculator sin(2*306.87)

  • calculus -

    -24/25

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