Chapter 13: Q 33 (page 1066)

Describe the graphs of the equations and provide alternative equations in the specified coordinate systems.
Change $θ = \frac{π}{2}$ to the rectangular system

Short Answer

Expert verified

The rectangular coordinates is $x = 0$

Step by step solution

Step 1:Given information

The given expression is $θ = \frac{π}{2}$

Step 2:Simplification

The spherical coordinates $θ = \frac{π}{2}$ represents half of the $y z -$ plane in $y \geq 0$

To convert to rectangular system, we use $\tan θ = \frac{y}{x}$

$\Rightarrow \tan (\frac{π}{2}) = \frac{y}{x}$

$\Rightarrow \frac{1}{0} = \frac{y}{x}$

$\Rightarrow x = o$

Tnerefore rectangular coordinates is $x = 0$

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Describe the graphs of the equations and provide alternative equations in the specified coordinate systems.
Change $θ = \frac{π}{2}$ to the rectangular system

Short Answer

Step by step solution

Step 1:Given information

Step 2:Simplification

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Describe the graphs of the equations and provide alternative equations in the specified coordinate systems.Changeθ=π2 to the rectangular system

Short Answer

Step by step solution

Step 1:Given information

Step 2:Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Geometry

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Describe the graphs of the equations and provide alternative equations in the specified coordinate systems.
Change $θ = \frac{π}{2}$ to the rectangular system