Write the equation r=sin(theta)+1 in rectangular coordinates. Please show step by step instructions.
- print Print
- list Cite
Expert Answers
mlehuzzah
| Certified Educator
calendarEducator since 2012
write251 answers
starTop subjects are Math and Literature
To switch between rectangular and polar coordiates, keep the following in mind:
`x = r cos theta`
`y= r sin theta`
`r = sqrt(x^2+y^2)` so `r^2 = x^2+y^2`
`theta = "Tan"^(-1)(y/x)` so `"tan" theta = y/x`
Thus, one way to turn this into a rectangular expression is:
`r = sin theta + 1`
`r^2 = r sin theta + r`
`x^2+y^2 = y + sqrt(x^2+y^2)`
check Approved by eNotes Editorial
Related Questions
- the cartesian coordinates of a point are given (1,-3) find the polar coordinates `(r, theta)`...
- 1 Educator Answer
- point (-6,-8) lies on the terminal terminal arm of an angle `theta` in standard position....
- 1 Educator Answer
- Write x=(pi)/(4) as an equation in rectangular coordinates, (x, y).
- 1 Educator Answer
- Find the rectangular coordinates of each point. Can you please show steps?Thank you.1.) (2,...
- 1 Educator Answer
- prove the identity: 2cos^2 theta/2 = sin^2 theta/1-cos theta.
- 2 Educator Answers