Answered

Part 2 - Find the error(s) and solve the problem correctly.
Convert the polar equation to rectangular form and identify the graph. Support your answer by sketching the graph. Show and explain your work.
r = − 4 cos θ
Answer:
Cosine graph reflected over x-axis with amplitude 4

Part 2 Find The Errors And Solve The Problem Correctly Convert The Polar Equation To Rectangular Form And Identify The Graph Support Your Answer By Sketching Th class=

Sagot :

Okpalawalter8id

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

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