The sketch of the image is attached below
What is sketching the graph?
Generally, the equation for is mathematically given as
x = -4 cos -(i)
Multiply -(i) both sides by & we
x^2= -4xcos\theta
We know that and
x= x cos\theta
y = rsino
x² + y² = x² (cos²∅ + sin²∅).
x² + y² = x² ....sin² ∅ + cos 2∅=1
so, putting rates in (ii) we get
x²+y² = -4x
x²+4² +4 + y²=4
(2 + 2)² + y² =4
The rectangular form of
x = -4cos∅ is (x + 2)² + y² = 4 ---- A
We can see that A is a graph of circles. The general equation of a circle is
= (x-h)² + (y)² = x² ----B
where (h, k) = centre
Comparing A and B we find
- x = radius
- Centre (-2,0)
- Radius 2
Read more about rectangular form
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