How do you write the rectangular equation $y = 5$ $y=5$ in polar form?

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Answer 1 · 2017-05-19T15:21:10

$r = 5 csc θ$ $r=5csctheta$

For polar/rectangular conversion we use the following transformations

$r^{2} = x^{2} + y^{2}$ $r^2=x^2+y^2$

$x = r cos θ$ $x=rcostheta$

$y = r sin θ$ $y=rsintheta$

$y = 5$ $y=5$

$\Rightarrow r sin θ = 5$ $=>rsintheta=5$

$r = \frac{5}{sin θ}$ $r=5/sintheta$

$r = 5 csc θ$ $r=5csctheta$

How do you write the rectangular equation y=5y=5y=5 in polar form?