WebConvert the equation from polar to rectangular form r = -4 \cos \theta. Convert the polar equation r^2=2\cos^2\theta + 3\sin^2\theta into a rectangular equation. Convert the … WebAug 12, 2011 · If you label the endpoint of the rotating arm as either (x,y) in rectangular and (r,Ø) in polar, then x = rcosØ or cosØ = x/r y = rsinØ or sinØ = y/r also x^2 + y^2 = r^2, and tanØ = y/x then in your equation r = 8 (x/r) + 5 (y/r) multiply by r r^2 = 8x + 5y x^2 + y^2 = 8x + 5y x^2 - 8x + y^2 - 5y = 0 This is the equation of a circle.
How do you convert r= 2cos theta to rectangular form?
WebMay 9, 2024 · Write the polar coordinates (3, π 2) as rectangular coordinates. Solution Use the equivalent relationships. x = rcosθ x = 3cosπ 2 = 0 y = rsinθ y = 3sinπ 2 = 3 The rectangular coordinates are (0, 3). See Figure 10.3.8. Figure 10.3.8 Example 10.3.3B: Writing Polar Coordinates as Rectangular Coordinates WebConvert the polar equation r=3cosθ to an equivalent rectangular form. Solution: (x−3/2)∧2+y∧2=9/4; Question: Convert the polar equation r=3cosθ to an equivalent rectangular form. Solution: (x−3/2)∧2+y∧2=9/4. please show step by step clearly how to get the solution shown. Show transcribed image text. Expert Answer. scary tv shows 90s
CC Converting Polar to Cartesian Equations in Five Easy Steps
WebFeb 16, 2006 · I need to convert r^2=2cos (2 theta) to rectangular form. I know that x = rcos (theta) and y = rsin (theta) so far I have r = (2cos (2theta))/r then I substitute for r sqrt (x^2+y^2)= (2cos (2theta))/sqrt (x^2+y^2) Then I hit a brick wall. please help me knock down this wall. Thanks Back up a little! You have so first note that so that WebConvert to Rectangular r=2cos(theta) Step 1. Since , replace with . Step 2. Multiply both sides by . Tap for more steps... Step 2.1. Multiply both sides by . Step 2.2. ... Use the … WebLet's start with the given equation. Multiply both sides with r r r to get. r 2 = 2 r cos θ. r^2 = 2 r \cos \theta. r 2 = 2 r cos θ. Now, observe that x 2 + y 2 x^2 + y^2 x 2 + y 2 stands … scary twerk