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Polar coordinates and polar graphs — Homework
Convert using x=r*cos(theta), y=r*sin(theta) (or their inverses), and match each equation to its shape family.
- 1.Convert (8, pi/6) from polar to rectangular.
- 2.Convert (2,-2) from rectangular to polar.
- 3.Identify the curve r = 3 + 3*cos(theta).
- 4.Identify the curve r = 5*sin(4*theta), and state how many petals it has.
- 5.Explain why the polar equation theta = pi/4 (with r unrestricted) describes a straight line through the origin, rather than a single point.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 32 homework