SOLUTION: The terminal side of an angle theta in standard position coincides with the line 4x + y=0 in Quadrant II. sec theta to the nearest thousandth.
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Question 694738: The terminal side of an angle theta in standard position coincides with the line 4x + y=0 in Quadrant II. sec theta to the nearest thousandth. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The terminal side of an angle theta in standard position coincides with the line 4x + y=0 in Quadrant II. sec theta to the nearest thousandth.
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Let x = -1, then y = 4
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Solve for "r":
r = sqrt[x^2+y^2] = sqrt(1+16) = sqrt(17)
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sec(theta) = r/x = -sqrt(17)
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cos(theta) = -1/sqrt(17) = -0.2425..
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theta = cos^-1(-0.2425356..) = 104.036.. degrees
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Cheers,
Stan H.
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