(4)r=1( sin θ - cos θ ) (5)r=1+ cos θ (6)r=2sec θ (7)sec θ =2 相关知识点: 试题来源: 解析 (1)x^2+y^2=49 (2)x=6 (3)x^2+y^2= (4)y-x=1 (5)x^2+y^2=(x^2+y^2-x)^2 (6)x=2 (7)y= ±√3x 反馈 收藏 ...
Convert from rectangular coordinates( (x,y)) to polarcoordinates( (r,θ )) using the conversion formulas.( r=√(x^2+y^2))(θ =tan^(-1)(y/x))Replace ( x) and ( y) with the actual values.( r=√(((4))^2+((7))^2))(θ =tan^(-1)(y/x))Find the magnitude of the ...
Use the formulas in Step 2 to convert the rectangular equation 3x-2y=7 into polar form. Try this example to learn how the process works. Step 4 Substitute x= rcos θ and y=rsin θ into the equation 3x-2y=7 to get (3 rcos θ- 2 rsin θ)=7. Step 5 Factor out the r from th...
Convert the rectangular equation(x2+y2)2−4(x2−y2)=0to polar form. Convert the polar equationr=4cosθto rectangular form. Polar To Rectangular Coordinates 1) To convert from Rectangular Coordinates(x,y)to Polar C...
Convert Cartesian factor loadings into polar coordinatesWilliam Revelle
Convert the polar equation to rectangular coordinates.(Use variables x and y as needed. r=1+cos(\theta) [-/1Points]SPRECALC78.1.063.Convert the polar equation to rectangular coordinates.(Use variables x and y as needed.)...
Convert the rectangular equation x2+y2−2y=0 Finding Polar Equation from Rectangular Cooirdinates: The relationship between Cartesian coordinates and Polar coordinates is given by, x=rcos(θ)andy=rsin(θ) To solve the above question, we substitute forxandyand group in terms ofrand...
The rectangular coordinates (x , y) and polar coordinates (R , t) are related as follows. y = R sin t and x = R cos t R2= x2+ y2and tan t = y / x To find the polar angle t, you have to take into account the sings of x and y which gives you the quadrant. ...
Evaluating Integral Using Polar Coordinates:To convert the Cartesian coordinates {eq}(x,y) {/eq} into polar coordinates {eq}(r,\theta) {/eq} we do the following substitution: {eq}x = r \cos \theta, \ y = r \sin \theta, \ x^{2}+y^{2} = r^{2}, \tan...
When the graph of an equation possesses symmetries along the coordinate axes or the origin, it is useful in some problems to convert rectangular equations to the polar equation. Symmetry exists when certain parts of the graph are mirror images of each other across coordinate axes or points. This...