Convert the cartesian equation y = 3 to a polar equation.

a. r = 3sinθ
b. r = 3secθ
c. r = 3cscθ

ANSWER

C. r = 3cscθ

EXPLANATION

The given Cartesian equation is:

The relation between Cartesian coordinates system and the polar coordinates system is:

and

Hence y=3 in polar coordinates is

Divide through by

Recall that,

This implies that ,

The correct choice is C

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