SOLUTION: The terminal side of an angle theta in standard position coincides with the line 3x+y=0 in Quadrant II. Find csc theta to the nearest thousandth.

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Question 488076: The terminal side of an angle theta in standard position coincides with the line 3x+y=0 in Quadrant II. Find csc theta to the nearest thousandth.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The terminal side of an angle theta in standard position coincides with the line 3x+y=0 in Quadrant II. Find csc theta to the nearest thousandth.
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y = -3x
When x = -1, y = 3
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Then r = sqrt(x^2+y^2) = sqrt(1+9) = sqrt(10)
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csc(theta) = r/y = 1/3)sqrt(10) = 1.054
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Cheers,
Stan H.
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