Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2 sin 20

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Find the points at which the following polar curve has a horizontal or a vertical tangent line.
r=2 sin 20
At what points does the polar curve have a horizontal tangent line?
OA.
(0.2). (0.). (2,0,), and (±2,7 +0₁), where tan 0₁ = √/2
4√/2
4√2
+ 3-0₁, where tan 0₁ = √2
OB. (0,0), (0,r),
3x 4√2
O C.
1
(0.). (0.²). (+41² 0₁). and (+4+²,2-0,), where tand, = -√2
4√2)
(*
3
3-0₂
√√2
4√3
OD. (0,0), (0,r),
, and
and t
4√3
-0₁ , where tan 0₁ = √3
At what points does the polar curve have a vertical tangent line?
○ D. (0,0), (0,2), ( + 4√2,0₂), and (±
1
O A. (0,0), (0,), (±2,0₂), and (±2,x+0₂), where tan 8₂ =
√√2
4√2
4√2
1
OB.
t
--0₂
3
(0.5) - (0.-27). (+44² 0₂2). and (+44² 4-83). Where tan 02
and (2
- 4√³ x-₂):
O C.
(0.7), (0.37). (+ 4√³,0₂),
3
, where tan 0₂ =
4√/2
3-02, where tan 0₂ = √2
1
√√3
Transcribed Image Text:Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2 sin 20 At what points does the polar curve have a horizontal tangent line? OA. (0.2). (0.). (2,0,), and (±2,7 +0₁), where tan 0₁ = √/2 4√/2 4√2 + 3-0₁, where tan 0₁ = √2 OB. (0,0), (0,r), 3x 4√2 O C. 1 (0.). (0.²). (+41² 0₁). and (+4+²,2-0,), where tand, = -√2 4√2) (* 3 3-0₂ √√2 4√3 OD. (0,0), (0,r), , and and t 4√3 -0₁ , where tan 0₁ = √3 At what points does the polar curve have a vertical tangent line? ○ D. (0,0), (0,2), ( + 4√2,0₂), and (± 1 O A. (0,0), (0,), (±2,0₂), and (±2,x+0₂), where tan 8₂ = √√2 4√2 4√2 1 OB. t --0₂ 3 (0.5) - (0.-27). (+44² 0₂2). and (+44² 4-83). Where tan 02 and (2 - 4√³ x-₂): O C. (0.7), (0.37). (+ 4√³,0₂), 3 , where tan 0₂ = 4√/2 3-02, where tan 0₂ = √2 1 √√3
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning