waht is corresponding Cartesian equation: 3P= 13Description of locus in (x, y, z) space:b. 0 = TThis is a semi-circle of radius 169, in the plane y = V3x, attached to the z-axis.Corresponding Cartesian equation:sin (a)fΩаx +y¯ +z169, у %33 x(y>0,x > 0

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Description: waht is corresponding Cartesian equation: 3P= 13Description of locus in (x, y, z) space:b. 0 = TThis is a semi-circle of radius 169, in the plane y = V3x, attached to the z-axis.Corresponding Cartesian equation:sin (a)fΩаx +y¯ +z169, у %33 x(y>0,x >

Given : θ=π3, ρ=13 We know that θ=tan-1yxtanθ=yxtanπ3=yx3=yxy=3x

Answered: 0 = % 3P= 13

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 43E

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waht is corresponding Cartesian equation:

3P= 13
Description of locus in (x, y, z) space:
b. 0 = T
This is a semi-circle of radius 169, in the plane y = V3x, attached to the z-axis.
Corresponding Cartesian equation:
sin (a)
f
Ω
а
x +y¯ +z
169, у %3
3 x(y>0,x > 0

Expert Solution

Step 1

Given : $θ = \frac{π}{3}, ρ = 13$

We know that

$θ = \tan^{- 1} (\frac{y}{x}) \tan θ = \frac{y}{x} \tan \frac{π}{3} = \frac{y}{x} \sqrt{3} = \frac{y}{x} y = \sqrt{3} x$

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