Chapter 9 Assessment

Find the polar coordinates that do NOT describe the point in the given graph. (-2, 30°) (-2, 210°) (2, 30°) (-2, -150°) Find the equation represented in the given graph. θ = 3 r = 3 θ = 2π r = 2 Two airplanes at the same altitude have polar coordinates (2, 120°) and (1, 45°), where r is in miles. Find the distance between them. 1.40 miles 1.99 miles 2.46 miles 2.98 miles Find the equation which is graphed at the right. r = 4cosθ r = 2 - 2cosθ r = 2 + 2cosθ r = 2 + 2sinθ Find polar coordinates for the point with rectangular coordinates (√3, 1). A robot's hand is positioned so its center has polar coordinates (3, 180°). Find rectangular coordinates for this point. (-3, 0) (0, 3) (3, 0) (0, -3) Express the following in rectangular form. Express the following in polar form Find the product of z1 and z2 and write in rectangular form. -8i -8 8 + 8i 8 Find the quotient of z and z, and write in rectangular form 2i -2 -2i 2 + 2i Simplify Match the polar equation to the name of the shape it creates. Spiral of Archimedes r = 2θ - 4 Circle r = 3sinθ Cardiod r = -2 - 2sinθ Lemniscate r^2 = 16sin2θ Rose r = 3cos6θ Limacon r = 5 - 5cosθ