Question

Convert the polar equation into a rectangular equationθ= π/4

Answer 1

First, we must remember the following set of relations:

`\begin{gathered} \cos\theta=(x)/(r) \\ \sin\theta=(y)/(r) \\ \tan\theta=(y)/(x) \\ x^2+y^2=r^2 \end{gathered}`

Then we have:

`\begin{gathered} \theta=(\pi)/(4) \\ \tan(\pi)/(4)=(y)/(x)=1 \\ (y)/(x)=1 \\ \therefore y=x \end{gathered}`