Web(3) Consider the polar equation r = 2 sin θ. (a) Convert the polar equation to rectangular form. (a) Convert the polar equation to rectangular form. (b) Identify the graph of the equation. WebSep 17, 2012 · in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates. Thanks :) translate this polar equation into a rectangular form: rsin(2theta)=sin(theta) My answer: r2sin(theta)cos(theta)=sin(theta) 2rcos(theta)=1 2x=1 x=1/2 This is the only answer I ...
How do you convert $r = 4\sin 2\theta $ to rectangular form?
WebNow substitute into given equation: Notice we can solve for sin (theta) Thus equation becomes. Multiply by sqrt (x^2 + y^2) on both sides. Add 2y to both sides. Use completing the square to obtain standard circle equation. Therefore polar equation is converted to rectangular form and is the graph of a circle of radius 1 centered at (0,-1). WebJan 2, 2024 · Convert from polar to rectangular. \( r=\frac{2}{\sin \theta-\cos\theta}\) \(r=2\cos \theta\) Solution. ... The original polar equation, \(r=2/(\sin\theta-\cos\theta)\) does not easily reveal that its graph is simply a line. However, our conversion shows that it is. The upcoming gallery of polar curves gives the general equations of lines in ... fotos wetter
r = 2 sin theta + 2 cos theta Identify the curve by …
Webr = 2 sin theta + 2 cos theta Identify the curve by finding a Cartesian equation for the curve. WebApr 5, 2016 · How do you convert r = 2 sin θ to rectangular form? How do you convert. r. =. 2. sin. θ. to rectangular form? Trigonometry The Polar System Converting Between … WebNov 23, 2016 · Find an equation in rectangular coordinates for the equation in cylindrical coordinates. r = 2 sin θ My Work: I decided to square both sides. r^2 = 4 sin^2 θ x^2 + … disable comments wordpress plugin