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I need help with this practice problem solving The subject, I believe, is complex numbers and vectors

I need help with this practice problem solving The subject, I believe, is complex-example-1
User Heloise
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1 Answer

5 votes

Given:

Given that


r=(5)/(3\sin\theta-\cos\theta)

Required: Convert to rectangular form.

Step-by-step explanation:

The given equation in polar can be written as


\begin{gathered} r(3\sin\theta-\cos\theta)=5 \\ 3r\sin\theta-r\cos\theta=5 \end{gathered}

Substitute


x=r\cos\theta,y=r\sin\theta

Then the equation becomes 3y - x = 5.

Solve for y.


\begin{gathered} 3y=x+5 \\ y=(1)/(3)x+(5)/(3) \end{gathered}

Final Answer:


y=(1)/(3)x+(5)/(3)

User Psyill
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