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Home Q & A Board Science-Related Homework Help Mathematics
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justinrocks justinrocks
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11 years ago
How do I find a Cartesian equation for the polar curves:

A) r = 2csc?

B) r = 2tan?sec?

If someone could show step by step how to solve this problem it would be helpful.
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#1
11 years ago
A) y = r*sin(t)
y = 2csc(t)*sin(t) = 2
y = [2/sin(t)]*sin(t)
y = 2

B) r = 2tan(t)*1/cos(t)
x =  2tan(t)*1/cos(t)*cos(t) = 2tan(t)
tan(t) = x/2
y =  2tan(t)*1/cos(t)*sin(t) = 2tan^2(t)
y = 2*x^/4 = x^2/2
y = (1/2)*x^2
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