Question

r=2-6 cos(θ) convert this polar coordinate equation into an equation in rectangular coordinates(x,y)


given (-8,8) convert this point into polar coordinates with 6 >= 0 and 0<=θ<= 2pi

given x^2+ (y-5)^2=25 cover this rectangular coordinate equation in to an equation in polar coordinates (r,θ)

Answer 1

Start with the facts:
\[x=r\cos{\theta}, y=r\sin{\theta},\sin^2{\theta}+\cos^2{\theta}=1\]If you need more hints, come back and ask.