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Question 1119697: Find the Cartesian equation of r = acosθ/2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the Cartesian equation of r = acosθ/2
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r = sqrt(x^2+y^2)
theta = arctan(y/x)
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Since tan(theta) = y/x, y = sin(theta) and x = cos(theta)
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Therefore cos(theta/2) = sqrt[(1+cos(theta))/2] = sqrt[1+(x/2)]
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Equation:
x^2 + y^2 = a*sqrt(1+(x+2)]
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Cheers,
Stan H.
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