Question 805437: Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line
y = −3x.
How do I find the values of sin(t), cos(t), tan(t), cot(t), sec(t), and csc(t)?
Thank you for your help!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line
y = −3x.
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slope = -3
slope = tangent = y/x = -3/1 = 3/-1
So y = 3 and x = -1
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Therefore r = sqrt(3^2+1^2) = sqrt(10)
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How do I find the values of sin(t), cos(t), tan(t), cot(t), sec(t), and csc(t)?
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sin(t) = y/r = 3/sqrt(10)
cos(t) = x/r = -1/sqrt(10)
tan(t) = y/x = -3
csc(t) = sqrt(10)/3
sec(t) = -sqrt(10)
cot(t) = x/y = -1/3
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Cheers,
Stan H.
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