Sketch the line for a given polar equation and find

sonkitty2h

sonkitty2h

Answered question

2021-11-20

Sketch the line for a given polar equation and find the corresponding Cartesian equation.
The given polar equation is r=2secθ.

Answer & Explanation

James Kilian

James Kilian

Beginner2021-11-21Added 20 answers

Formula used: 
The following is how to express the relationship between polar and cartesian equations:
x=rcosθ 
y=rsinθ 
tanθ=yx 
Calculation: 
The following is how to rewrite the polar equation:
r=2secθ 
r=2cosθ 
rcosθ=2 
From relation between Cartesian and polar equations, substitute x for rcos 0 to find the Cartesian equation for the given polar equation. 
x=2 
From the obtained Cartesian equation, it is clear that, the graph is a vertical line which passes through (2,0). 

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