For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. 1. (a) A line through the origin that makes an angle of π/6 with the positive x- axis. (b) A vertical line through the point (1, 1). 2. (a) A circle with radius 5 and center (2, 3). (b) A circle centered at the origin with radius 4.

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. 1. (a) A line through the origin that makes an angle of π/6 with the positive x- axis. (b) A vertical line through the point (1, 1). 2. (a) A circle with radius 5 and center (2, 3). (b) A circle centered at the origin with radius 4.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 11T

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Question

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.

1. (a) A line through the origin that makes an angle of π/6 with the positive x- axis.
(b) A vertical line through the point (1, 1).

2. (a) A circle with radius 5 and center (2, 3).

(b) A circle centered at the origin with radius 4.

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