Homework Help is Here – Start Your Trial Now!
Math
Calculus
1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.

1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 64E
See similar textbooks
icon
Related questions
Question
Please write this exactly same way. I upload a sample work photo.
1.) Find polar coordinates (r, 0) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.
Transcribed Image Text:1.) Find polar coordinates (r, 0) for the point P that has Cartesian coordinates (x, y) = (5,-5) such that r≥ 0 and 0 ≤ 0 ≤ 2π. Show all steps. You may leave the angle in terms of an inverse trigonometric function.
xample epresent the point with Cartesian coordinates (1,-1) in terms of polar coordinates. X = 1 y = -1 So, (1,-1) in ܙ F F r² = x² + y² (²³= (1) ³² + (-1) ² (52, 2π + ten²¹ (-1)) r² = 2 r=√√2 -1 in Quadent II 2-7 √ or tan 0 = 1/2 X fand = = tad = -1 8 = tan (-1) in 0 = 2π + tan¹ (-1) Carterian Coordinates = 7T -X or O=-T is in Polar Coordinates. 4. (1₁-1) or (√2, 247) or (52,- =7)
Transcribed Image Text:xample epresent the point with Cartesian coordinates (1,-1) in terms of polar coordinates. X = 1 y = -1 So, (1,-1) in ܙ F F r² = x² + y² (²³= (1) ³² + (-1) ² (52, 2π + ten²¹ (-1)) r² = 2 r=√√2 -1 in Quadent II 2-7 √ or tan 0 = 1/2 X fand = = tad = -1 8 = tan (-1) in 0 = 2π + tan¹ (-1) Carterian Coordinates = 7T -X or O=-T is in Polar Coordinates. 4. (1₁-1) or (√2, 247) or (52,- =7)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS