A polar conic section Consider the equation r^2 = sec 2 theta. Convert the equation to Cartesian coordinates and identify the curve

pedzenekO 2020-12-30 Answered
A polar conic section Consider the equation r2=sec2θ. Convert the equation to Cartesian coordinates and identify the curve
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Cullen
Answered 2020-12-31 Author has 89 answers

Given: we have an equation in polar form r2=sec2θ Part a) to determinate the equation to Cartesian coordinates and identify the curve Explain: to convert the equation we can write the equation sa follows r=sec2θ
r=1cos2θ We know these relations x=rcosθ,y=rsinθ,r=x2+y2 Can be written cosθ =x/r,sinθ=y/r r=1cos2θ=1cos2θsin2θ[cos2θ=cos2θsin2θ]

Putting in the equation we have r=1xr2yr2 x2r2y2r2=1r2 We have the equation x2y2=1

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-15
a. What is the best way of determining whether the given equation is a circle? b. How will you describe the graphs of the equations that are not circles?
asked 2022-05-08
Find the length of base of a triangle without using Pythagorean Theorem
I'm curious whether it is possible to find the length of base of the triangle without using Pythagorean Theorem
No Pythagorean Theorem mean:
=> No trigonometric because trigonometric is built on top of Pythagorean Theorem. etc sin θ = a r
=> No Integration on line or curve because the integration is built on top of Pythagorean Theorem. etc: s ( x ) = f ( x ) 2 + 1
asked 2021-12-10
In parallelogram PQSR, what is PQ?
(2x+5)cm
a) 2 cm
b) 5 cm
c) 6 cm
d) 9 cm
asked 2021-08-13
Two circles intersesct and have a common chord 10 in. long.
asked 2021-08-08
In your own words, discuss how the diameter and circumference of all circles-small or large-are related. If a circle has diameter D centimeters and circumference C centimeters, then what is an equation that relates D and C? Explain in detail why your equations holds for all circles, no matter what size.
asked 2021-08-10

Simplify the scale factor and write it as a proper fraction, improper fraction, of whole number.
Scale factor:
image

asked 2021-08-04
Identify a similarity statement for the two triangles.

1.The triangles are not similar
2.TRSLJK
3.RSTJKL
4.SRTKLJ
5.TSRLJK

New questions