Convert the given polar equation to a Cartesian equation. Write in the standard

Brennan Flores

Brennan Flores

Answered question

2021-09-24

Convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if possible, and identify the conic section represented.
r=2sec0

Answer & Explanation

cyhuddwyr9

cyhuddwyr9

Skilled2021-09-25Added 90 answers

Step 1
Given:
r=2sec0
r=2cos0
rcos0=2
Step 2
The polar coordinates r, 0 and cartesian coordinates x,y are related by
x=rcos0
Hence, the equation rcos0=2 in cartesian coordinates is
x=2
The equation represents a straight line parallel to y-axis

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