Write x=(pi)/(4) as an equation in rectangular coordinates, (x, y).

Expert Answers

An illustration of the letter 'A' in a speech bubbles

I'm guessing you mean `theta = pi / 4` , otherwise this equation is already in rectangular coordinates.

To go from polar to rectangular, you want to use the fact that:

`"tan" theta = (y)/(x) `

So: `theta = pi / 4` means that ` "tan" theta = "tan" pi/4 = 1`

So: `(y)/(x)=1`, or `y=x`




You can think about this as the line whose angle with the x-axis is `pi/4` (that is the polar coordinate way to think about it)

Or you can think about this as the line with slope 1 and y-intercept 0 (that is the rectangular coordinate way)  

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial