Convert each of the following equations from polar form to rectangular form.

Question

a) 𝑟^2 =64

b) 𝑟=5cos𝜃.

Hello! I need help solving these two problems, please!

Answer 1

a)

r²=64

r²=x²+y²

x²+y²=64

b)

r=5cosθ = 5rcosθ/r = 5x/r since x=rcosθ

r²=5x

x²+y²=5x

x²-5x+y²=0