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Posted by on Sunday, March 6, 2011 at 12:13pm.

if theta is an angle in standard position and B(-3,4) is a point on the terminal side of the angle, what is the value of sin theta?

  • trig - , Sunday, March 6, 2011 at 8:49pm

    B(-3,4), Q2.

    r^2 = (-3)^2 + 4^2 = 25,
    r = 5.

    sinAr = Y/r= 4 / 5 = 0.8,
    Ar = 53.1deg = reference angle.

    sinAr = Y/r = 4 / 5 = 0.80,

    Since the angle is in Q2,the angle
    calculated is actually the ref angle
    which has the same trig ratios as the
    actual angle. The actual angle is:
    A = 180 - Ar = 180 - 53.1 = 126.9deg.
    sin126.9 = 0.8 = sin53.1.

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