How do you convert the polar coordinate (1, 150°) into cartesian coordinates? Precalculus Polar Coordinates Converting Coordinates from Polar to Rectangular 1 Answer sankarankalyanam Jul 9, 2018 #color(magenta)("Cartesian coordinates " (x, y) = (-sqrt3/2, 1/2)# Explanation: #(r, theta) = (1, 150^@)# #x = r cos theta = 1 * cos 150 = -sqrt3/2 ~~ -0.866# #y = r sin theta = 1 * sin 150 = 1/2 # Answer link Related questions What is the formula for converting polar coordinates to rectangular coordinates? How do I convert polar coordinates #(5, 30^circ)# to rectangular coordinates? How do I convert polar coordinates #(3.6, 56.31)# to rectangular coordinates? How do I convert polar coordinates #(10, -pi/4)# to rectangular coordinates? How do I convert polar coordinates #(4,-pi/3)# to rectangular coordinates? How do I convert polar coordinates #(6, 60^circ)# to rectangular coordinates? How do I convert polar coordinates #(-4, 230^circ)# to rectangular coordinates? What is the Cartesian equivalent of polar coordinates #(sqrt97, 66^circ)#? What is the Cartesian equivalent of polar coordinates #(2, pi/6)#? What is the Cartesian equivalent of polar coordinates #(7, pi)#? See all questions in Converting Coordinates from Polar to Rectangular Impact of this question 5413 views around the world You can reuse this answer Creative Commons License