The graphs of the polar equations r₁ = cos(20) and r₂ = sin(9) + 1 are shown below. Find the 4 angles between 0 and 2π for which r₁ = 0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and ) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ cos(20) takes on both positive and negative values, while r₂ = sin(9) + 1 takes on only non- negative values. =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 28E
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The graphs of the polar equations r₁ = cos(29) and r₂ = sin() + 1 are shown below.
Find the 4 angles between 0 and 2 for which r₁ = 0, and the angle for which r₂ = 0, please explain
every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should
be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁
= cos(20) takes on both positive and negative values, while r₂ = sin(9) + 1 takes on only non-
negative values.
Is
&
Transcribed Image Text:The graphs of the polar equations r₁ = cos(29) and r₂ = sin() + 1 are shown below. Find the 4 angles between 0 and 2 for which r₁ = 0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ = cos(20) takes on both positive and negative values, while r₂ = sin(9) + 1 takes on only non- negative values. Is &
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