Question 835222: The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line.
Line Quadrant
y = (40/9)x III
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line.
Line Quadrant
y = (40/9)x III
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Note: In QIII, x < 0 and y < 0
point (9,40)
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x = -9
y = -40
r = sqrt[9^2+40^2] = 1681 = 41
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sin = y/r = -40/41
cos = x/r = -9/41
tan = y/x = 40/9
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csc, sec, and cot are the inverse of sin, cos, and tan
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Cheers,
Stan H.
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