SOLUTION: What is the graph of the polar equation r = 2 sec (theta + 90degrees)

Question 1023362: What is the graph of the polar equation r = 2 sec (theta + 90degrees)
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52747) (Show Source): You can put this solution on YOUR website!
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What is the graph of the polar equation r = 2 sec (theta + 90degrees)
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As the first step, let us write this equation in (x,y) rectangular coordinates. It is = , or = , ( since = ), or = ( since = ). To rid off the square root, square both sides. You will get = . If you want to express y via x, multiply both sides by and simplify. You will get = . Consider it as a quadratic equation for . Express as its root, using the quadratic formula = = . Then = +/- .

Plots =

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

<==>
<==>
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<==> y = -2, by direct application of polar-cartesian conversion law.
==> the graph of the equation is a horizontal line with y-intercept at y = -2.
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