Plot the point (3,π2)(3,\frac{\pi}{2})(3,2π) & find another set of coordinates, (r,θ)(r,θ)(r,θ), for this point, where:(A) r≥0,2π≤θ≤4πr≥0,2π≤θ≤4πr≥0,2π≤θ≤4π,(B) r≥0,−2π≤θ≤0r≥0,-2π≤θ≤0r≥0,−2π≤θ≤0,(C) r≤0,0≤θ≤2πr≤0,0≤θ≤2π r≤0,0≤θ≤2π.

( 3 , 5 π 2 ) , ( 3 , − 3 π 2 ) , ( − 3 , 3 π 2 ) (3,\frac{5\pi}{2}),(3,-\frac{3\pi}{2}),(-3,\frac{3\pi}{2}) ( 3 , 2 5 π ) , ( 3 , − 2 3 π ) , ( − 3 , 2 3 π )

Table of contents

0. Fundamental Concepts of Algebra3h 29m
1. Equations and Inequalities3h 27m
2. Graphs1h 43m
3. Functions & Graphs2h 17m
4. Polynomial Functions1h 54m
5. Rational Functions1h 23m
6. Exponential and Logarithmic Functions2h 28m
7. Measuring Angles39m
8. Trigonometric Functions on Right Triangles2h 5m
9. Unit Circle1h 19m
10. Graphing Trigonometric Functions1h 19m
11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
12. Trigonometric Identities 2h 34m
13. Non-Right Triangles1h 38m
14. Vectors2h 25m
15. Polar Equations2h 5m
16. Parametric Equations1h 6m
17. Graphing Complex Numbers1h 7m
18. Systems of Equations and Matrices1h 6m
19. Conic Sections2h 36m
20. Sequences, Series & Induction1h 15m
21. Combinatorics and Probability1h 45m
22. Limits & Continuity1h 49m
23. Intro to Derivatives & Area Under the Curve2h 9m

15. Polar Equations

Polar Coordinate System

Precalculus15. Polar EquationsPolar Coordinate System

Multiple Choice

Plot the point $(3,\frac{\pi}{2})$ & find another set of coordinates, $(r,θ)$ , for this point, where:
(A) $r≥0,2π≤θ≤4π$ ,
(B) $r≥0,-2π≤θ≤0$ ,
(C) $r≤0,0≤θ≤2π$ .

$(3,\frac{5\pi}{2}),(-3,-\frac{3\pi}{2}),(-3,\frac{3\pi}{2})$

$(3,\frac{5\pi}{2}),(3,-\frac{3\pi}{2}),(-3,\frac{3\pi}{2})$

$(-3,\frac{5\pi}{2}),(-3,-\frac{3\pi}{2}),(-3,\frac{\pi}{2})$

$(3,\frac{5\pi}{2}),(3,-\frac{3\pi}{2}),(-3,\frac{\pi}{2})$

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Plot the point $(3,\frac{\pi}{2})$ & find another set of coordinates, $(r,θ)$ , for this point, where:
(A) $r≥0,2π≤θ≤4π$ ,
(B) $r≥0,-2π≤θ≤0$ ,
(C) $r≤0,0≤θ≤2π$ .