162. y² = 4x For the following exercises, convert the polar equation to rectangular form. 163. r 4 sin 0 164. r= 6 cos 0 165. r = 0 166. r = cot csc 0 graph of the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 88E
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Solve 165 please check my work to see I did it correctly
159. x² - y2 = 16
160. x = 8
161. 3x - y = 2
162. y² = 4x
For the following exercises, convert the polar equation
to rectangular form.
163. r= 4 sin 0
164. r= 6 cos 0
165. r = 0
166. r = cot csc 0
For the following exercises, sketch a graph of the
polar equation.
167. r = 1+ sin 0
168.
r=3-2 cos 0
180. [T] Use
181.
r=e
sin(0)
182. [T] U
interval 03
183. With
0=27
184. [T]
-NOS
185. [1
-10 ≤E
186. [T
technolc
187. I
explore
181 >
Transcribed Image Text:159. x² - y2 = 16 160. x = 8 161. 3x - y = 2 162. y² = 4x For the following exercises, convert the polar equation to rectangular form. 163. r= 4 sin 0 164. r= 6 cos 0 165. r = 0 166. r = cot csc 0 For the following exercises, sketch a graph of the polar equation. 167. r = 1+ sin 0 168. r=3-2 cos 0 180. [T] Use 181. r=e sin(0) 182. [T] U interval 03 183. With 0=27 184. [T] -NOS 185. [1 -10 ≤E 186. [T technolc 187. I explore 181 >
1
Multiply both sid
r(r) = tan²^¹ (✓) (+)
+²=r tan² (X)
2
(x²+1/²) = √
Y
2
2
Y
=
a tan
tan
x₂ tan (√x²₂y =) = x ex
2
+
by
x-tan (√x² + y²)=√
2
n`` (*)
to obtain
tan
Transcribed Image Text:1 Multiply both sid r(r) = tan²^¹ (✓) (+) +²=r tan² (X) 2 (x²+1/²) = √ Y 2 2 Y = a tan tan x₂ tan (√x²₂y =) = x ex 2 + by x-tan (√x² + y²)=√ 2 n`` (*) to obtain tan
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