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Find the points of intersection (r,θ) of the curves r=4cosθ r=4sinθ?

Find the points of intersection (r,θ) of the curves r=4cosθ r=4sinθ?

asked Feb 12, 2015 in CALCULUS by anonymous
reshown Feb 12, 2015 by goushi

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1 Answer

Step 1 :

The curves are and .

Find the intersection points by equating the two curves.

General solution of is , where n is an integer.

If n = 0, then .

If n = 1, then .

The solutions are on the interval .

Step 2 :

Substitute in and .

and .

Substitute in and .

and .

Thus, the intersection points are and .

Solution :

The intersection points are and .

answered Feb 14, 2015 by lilly Expert

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