Question #b8860 Trigonometry The Polar System Converting Between Systems 1 Answer A. S. Adikesavan Jan 3, 2017 #x+ i y = < x, y> = < 4sqrt2, 4sqrt2># Explanation: The process of conversion to the cartesian form is #8 cis( pi/4)# #=8 < cos(pi/4), sin (pi/4)># #=8<1/sqrt2, 1/sqrt2># #=<8/sqrt2, 8/sqrt2># #=<4sqrt2, 4sqrt2># # = < x, y> # Answer link Related questions How do you convert rectangular coordinates to polar coordinates? When is it easier to use the polar form of an equation or a rectangular form of an equation? How do you write #r = 4 \cos \theta # into rectangular form? What is the rectangular form of #r = 3 \csc \theta #? What is the polar form of # x^2 + y^2 = 2x#? How do you convert #r \sin^2 \theta =3 \cos \theta# into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation #10 sin(θ)# to the rectangular form? How do you convert the rectangular equation to polar form x=4? How do you find the cartesian graph of #r cos(θ) = 9#? See all questions in Converting Between Systems Impact of this question 1154 views around the world You can reuse this answer Creative Commons License