Explanation Given: It is asked to show that the graph of the polar equation r cos θ = a is a vertical line a units right to the pole if a ≥ 0 and | a | units left to the pole if a < 0 . It is a known fact that each point in the polar coordinate system is given by ( r , θ ) where r is the distance from the pole (origin) to the point, and θ is the counter clockwise angle that is made with the point pole, and the positive x -axis. To convert back and forth between polar and rectangular coordinates, we have the following formulas: cos θ = x r x = r cos θ sin θ = y r y = r sin θ r 2 = ( r cos θ ) 2 + ( r sin θ ) 2 ...

Mylab Math With Pearson Etext -- 24-month Standalone Access Card -- For Precalculus: Concepts Through Functions, A Unit Circle Approach To Trigonometry, A Corequisite Solution (4th Edition)

4th Edition

ISBN: 9780135874653

Author: Michael Sullivan, Michael Sullivan III, Jessica Bernards, Wendy Fresh

Publisher: PEARSON

See similar textbooks

Videos

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 8.2, Problem 84AYU

To determine

To show: The graph of the polar equation $r cos θ = a$ is a vertical line $a$ units right to the pole if $a \geq 0$ and $| a |$ units left to the pole if $a < 0$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.2, Problem 83AYU

Chapter 8.2, Problem 85AYU

Students have asked these similar questions

Ra X 2) slots per pole per phase 3/31 180 Ko Sin (1) Kdl 1 sin (4) sin(3) Sin (30) اذا مرید شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 Fo lasa! G s.1000-950 20:05 1000 Capper losses: 5kw Rotor input lookw 0.05 ined sove in peaper I need a detailed solution on paper please 6) 1 ۳/۱ وه اذا ميريد شرح الكتب فقط look DC 7) rotov Find the general solution of the following equations: +4y=tan2x 3 7357 Find the general solution of the following equations: - Qll y + y (³) = 0. 101

B: 18060 msl Kd Ka, Sin (n) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW /0001 Rotor input 5 : loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط ١٥٠ 7) rotov DC ined sove in Deaper I need a detailed solution on paper please dy x+2y-4 = dx 2x-y-3 Find the general solution of the following equations: 02//yl-4y+13y=esin

1) R₂ = X2 2) slots per pole per phase = 3/31 B msl kd 180 60 Kal Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input: 5 0.05 loo kw 6) 1 /0001 اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please Q1// Find the solution of: 'y' = x² +376 x4+316 xyo Q2 Find the solution of the initial-valued problems: ex-y y' +ex

Chapter 8 Solutions

Mylab Math With Pearson Etext -- 24-month Standalone Access Card -- For Precalculus: Concepts Through Functions, A Unit Circle Approach To Trigonometry, A Corequisite Solution (4th Edition)

Ch. 8.1 - Prob. 1AYU Ch. 8.1 - Prob. 2AYU Ch. 8.1 - Prob. 3AYU Ch. 8.1 - Prob. 4AYU Ch. 8.1 - Prob. 5AYU Ch. 8.1 - Prob. 6AYU Ch. 8.1 - Prob. 7AYU Ch. 8.1 - Prob. 8AYU Ch. 8.1 - Prob. 9AYU Ch. 8.1 - Prob. 10AYU

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The graph of the polar equation r cos θ = a is a vertical line a units right to the pole if a ≥ 0 and | a | units left to the pole if a < 0 .

Solution Summary: The author explains how the graph of the polar equation r cos = a is based on the distance from the pole to the point, and the counter clockwise angle that is made with it.

Videos

To show: The graph of the polar equation $r cos θ = a$ is a vertical line $a$ units right to the pole if $a \geq 0$ and $| a |$ units left to the pole if $a < 0$ .

Want to see the full answer?

Chapter 8 Solutions

The graph of the polar equation r cos θ = a is a vertical line a units right to the pole if a ≥ 0 and | a | units left to the pole if a &lt; 0 .

Solution Summary: The author explains how the graph of the polar equation r cos = a is based on the distance from the pole to the point, and the counter clockwise angle that is made with it.

Videos

To show: The graph of the polar equation rcosθ = a is a vertical line a units right to the pole if a≥0 and |a| units left to the pole if a<0.

Want to see the full answer?

Chapter 8 Solutions

The graph of the polar equation r cos θ = a is a vertical line a units right to the pole if a ≥ 0 and | a | units left to the pole if a < 0 .

To show: The graph of the polar equation $r cos θ = a$ is a vertical line $a$ units right to the pole if $a \geq 0$ and $| a |$ units left to the pole if $a < 0$ .