Graphs of polar functions: Use polar coordinates to graph eachof the following functions.13. r = sin θ 14. r = 3 cos θ 15. r = sin 3θ 16. r = 3 cos 4θ17. r = 2 − 2 sin θ 18. r = 4 − 2 cos θ19. r = 2 − √8 sin θ 20. r = 3 − 2 cos θ21. r 2 = − sin 2θ 22. r 2 = 3 cos 2θ

Q: For the rectangular coordinates (0,2), (a) plot the point, and (b) give two pairs of polar…

A: To find the polar coordinates we shall use the following transformation                      x=r cos…

Q: Convert (3, 8) to polar coordinates, where r is positive and is measured in radians in the interval…

A: given  (x,y)=(3,8)in polar coordinates (r,θ)r2=x2+y2tanθ=yxgiven r is positive and θ is in radians

Q: A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the…

A: Given,

Q: 50. Convert (-2, 5) to polar coordinates. A. (√29, 68°) B. (√14, 68°) C. (√29, 292°) D. (√4, 292°)

A: Note: None of the options are correct.  Please go through the answer and try to understand the…

Q: 4 -2x?y = 1 r = sin(0) (b) Pick a coordinate that lies on the graph of the equation you picked from…

A:

Q: Express the following Cartesian coordinates in polar coordinates in two ways. (2,-2√3) Select all…

A: Given query is to find polar coordinates.

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. (x-14) + y² =…

A:

Q: Find the polar angle (in radians with respect to +x-axis) of -3i + j. Exəctly one option must be…

A: First represent the complex number z=-3i+j on the argand plane .If we see complex number as in the…

Q: Find the rectangular coordinates of the point with polar coordinates r = 3 and theta = pi/6 A. (sq.…

A: The given polar coordinates,        r=3 and θ=π6