Convert a polar equation to rectangular form

The video tutorial explains how to convert polar coordinates to rectangular coordinates by using trigonometric identities. It highlights the importance of replacing R cosine theta with X and R sine theta with Y. The tutorial also addresses the role of cosecant in the conversion process and explains how dividing by cosecant is equivalent to multiplying by its reciprocal, sine. The video concludes with an example that demonstrates the creation of a horizontal line at Y equals negative 4.

What happens when you divide by cosecant in the context of this conversion?

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What does R sine of theta equal when Y is negative 4, and what does this represent graphically?

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