1) Plot the points with polar coordinates: (3, 7), (-4,-7), (– 2, π), (5, –77), (1, – 57). Then rewrite each polar coordinate in another way, where r is the opposite of the original value and theta is between 0 and 2pi. For example: (3, 7) =( − 3,0), 0≤0<2π 2) Use the conversion formulas = r cos 0, y =r sin Cartesian coordinates: a) b) 0= c) d) r = 2 πT 4 r = 2 cos 0 + 4 sin 0 r = 8 9 cos 0+5 sin 0 p² = x² + y², tan 0 = to convert the following equation from Polar coordinates to x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 85E
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W7Q1

1) Plot the points with polar coordinates: (3,), ( — 4, —), ( – 2, π), (5, — 7),(1, – 57).
( — 2, π), (5, —-7), (1, — 57). Then rewrite each polar coordinate in another way, where r
is the opposite of the original value and theta is between 0 and 2pi.
For example: (3,2)=( − 3,0),
2) Use the conversion formulas x = r cos0, y =r sin
Cartesian coordinates:
a) r = 2
ㅠ
b) 0
=(-3,0), 0≤0< 2π
=
d)
4
c) r = 2 cos 0 + 4 sin 0
8
9 cos +5 sin
r =
or_r² = x² + y², tan0
Y
= to convert the following equation from Polar coordinates to
X
Transcribed Image Text:1) Plot the points with polar coordinates: (3,), ( — 4, —), ( – 2, π), (5, — 7),(1, – 57). ( — 2, π), (5, —-7), (1, — 57). Then rewrite each polar coordinate in another way, where r is the opposite of the original value and theta is between 0 and 2pi. For example: (3,2)=( − 3,0), 2) Use the conversion formulas x = r cos0, y =r sin Cartesian coordinates: a) r = 2 ㅠ b) 0 =(-3,0), 0≤0< 2π = d) 4 c) r = 2 cos 0 + 4 sin 0 8 9 cos +5 sin r = or_r² = x² + y², tan0 Y = to convert the following equation from Polar coordinates to X
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