How do you convert $r=1/(cosθ+5sinθ)$ to rectangular form?

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Answer 1 · 2016-09-16T04:12:42

$x+5y=1$

Use the conversion equation

$r(cos theta, sin theta) =(x, y)$ .

Here,

$r=1/(x/r+5(y/r))=r/(x+5y)$

Striking off the non-zero factor r and cross multiplying,

$x+5y=1$

How do you convert r=1/(cosθ+5sinθ)r=1/(cosθ+5sinθ) to rectangular form?