Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

Question

r cosine theta equals 8
Question content area bottom
Part 1
What is the standard form of the equation in rectangular​ form?
  
enter your response here
Part 2
What is the graph of this​ equation?
A.
circle with center at ​(8​, ​0)
B.
circle with center at​ (0, 8​)
C.
vertical line
D.
horizontal line

Answer 1

Part 1:
The standard form of the equation in rectangular coordinates can be found by using the identity rcos(theta) = x.
So, the equation in rectangular form is:
x = 8

Part 2:
The graph of this equation is a vertical line passing through the point (8,0).
Therefore, the correct answer is C. vertical line.