SOLUTION: Find sec(theta) if tan(theta) = 1/4 and 180 degrees < (theta) < 270 degrees

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Question 348370: Find sec(theta) if tan(theta) = 1/4 and 180 degrees < (theta) < 270 degrees
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find sec(theta) if tan(theta) = 1/4 and 180 degrees < (theta) < 270 degrees
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tan = y/x = 1/4
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So y = 1 and x = 4
Therefore r = sqrt(4^2+1^2) = sqrt(17)
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Note: Theta is in the 3 Quadrant so, x and y are negative.
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Therefore: sec(theta) = r/x = (sqrt(17))(-4) = -sqrt(17)/4
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Cheers,
Stan H.