Polar Coordinates, Polar Equations, & Parametric Equations

Convert (12, 195^degrees) to rectangular

(-11.59, -3.11)

Convert (-1, 4pi/3) to rectangular

(1/2, Squareroot3/2)

r=-4cosTheta+2sinTheta

(y-2)^2+(y-1)^2=5

Plot the point with the given polar coordinates-----> (2, -pi/4)

-45^degrees with a radius of 2 on the unit circle

Plot the point with the given polar coordinates-----> (-4, 4pi/3)

60^degrees with a radius of 4 on the unit circle

Airplane BIGfat1-8U is flying at coordinates (6, 115^degrees). Airplane BIgmaMa-4U is flying at coordinates (5, 20^degrees). How far apart are the airplanes. Use law of cosine to solve the problem.

a=8.138141346 Miles

x^2+(y-2)^2=4

r=4sinTheta

y=5x

tanTheta=5

r=2sin Theta

x^2+(y-1)^2=1

Convert the following polar equation to rectangular equations= r=5

x^2+y^2=25

Eliminate the parameter to write the parametric equations as a rectangular equation. x = 3 cos t, y = 3 sin t

x^2+y^2=9

Eliminate the parameter to write the parametric equations as a rectangular equation. x = 4 sin (2t), y = 2 cos (2t)

x^2/16+y^2/4=1

Eliminate the parameter to write the parametric equations as a rectangular equation. x = 6 - t, y = 3t - 4

y=+-Squareroot 14-3x

Eliminate the parameter to write the parametric equations as a rectangular equation. x = 1/t-2, y = 4t + 5

y=4+13x/x

Eliminate the parameter to write the parametric equations as a rectangular equation. x = 1⁄2t + 4, y = t3

y=8(x-4)^3