Tutorial Exercise Convert the polar equation to rectangular form and sketch its graph. r = 9 cot(8) csc(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) of the point as follows. x = r cos (0) y = r sin (0) Step 2 The given polar equation can be rewritten as follows. r = 9 cote csce r = 9 cote y = sin (0) 9x = sin = 9 cote Converting to rectangular coordinates using x = r cos 0 and y = r sin 8 gives 9x ✓ V cos e y Step 3 Sketch the graph of y² = 9x. sin 0 9.x 1 sine y² y

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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Related questions
Question
2
-21
-4
y
200
150
100
50
1
1
2
2
Submit Skip (you cannot come back)
Written in standard form, the equation is
3
3
4
Step 4
Thus, the graph of the polar equation r = cot csc 0 is a [---Select---
4
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5
X
OL
-4
50
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y
100
-50
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Transcribed Image Text:2 -21 -4 y 200 150 100 50 1 1 2 2 Submit Skip (you cannot come back) Written in standard form, the equation is 3 3 4 Step 4 Thus, the graph of the polar equation r = cot csc 0 is a [---Select--- 4 5 5 X OL -4 50 4 y 100 -50 2 - 100 1 1 2 2 3 3 4 5 X X
Tutorial
Convert the polar equation to rectangular form and sketch its graph.
r = 9 cot(0) csc(0)
Step 1
The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) of the point as follows.
x = r cos (0)
y = r sin (0)
r
Step 2
The given polar equation can be rewritten as follows.
r = 9 cote csce
r = 9 cote
y =
sin (0)
9x =
Cos 0
y
Step 3
Sketch the graph of y² = 9x.
V
sin e
Converting to rectangular coordinates using x = r cos 0 and y = r sin 0 gives
9x
sin 0
= 9 cote
1
sine
9x
►
Transcribed Image Text:Tutorial Convert the polar equation to rectangular form and sketch its graph. r = 9 cot(0) csc(0) Step 1 The polar coordinates (r, 0) of a point are related to the rectangular coordinates (x, y) of the point as follows. x = r cos (0) y = r sin (0) r Step 2 The given polar equation can be rewritten as follows. r = 9 cote csce r = 9 cote y = sin (0) 9x = Cos 0 y Step 3 Sketch the graph of y² = 9x. V sin e Converting to rectangular coordinates using x = r cos 0 and y = r sin 0 gives 9x sin 0 = 9 cote 1 sine 9x ►
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