Question 264218: find the values of the six trigonmetric functions given that cos(theta) is 3/5 and theta terminates in Quadrant IV.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find the values of the six trigonmetric functions given that cos(theta) is 3/5 and theta terminates in Quadrant IV.
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cos(theta) = x/r = 3/5
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x = 3 ; r = 5
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Find y:
y = sqrt(3^2 + 5^2)
y = sqrt(9+25)
y = sqrt(34)
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Note: y is negative in the Quadrant IV
So y = -sqrt(34)
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sin = y/r = -sqrt(34)/5
cos = x/r = 3/5
tan = y/x = -sqrt(34)/3
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csc,sec, and ctn are the inverse of sin, cos, and tan
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Cheers,
Stan H.
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