Acurve in polar coordinates is given by: r=9+3cosθ. point p is at θ=21π/18 .?
a. find polar coordinate r for p , with r> 0 and π< θ< 3π/2 .
b. find cartesian coordinates for point p.
c. how may times does the curve pass through the origin when 0< θ< 2π?

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0

when r =0

we have

Since cos cannot take values as -3 it doe snot pass through origin.

a rotation about point l

step-by-step explanation:

quizlet

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.