Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q. 5 (page 774)

Fill in the blanks to convert between rectangular coordinates and polar coordinates.

x=.........

Short Answer

Expert verified

The value ofx=rcosθ

Step by step solution

01

Step 1. Given information

The horizontal distance of a point from y-axis is x

02

Step 2. Convert x into polar form:

Draw a diagram of a circle of radius rand let a point P(x,y)on the circle:

Apply trigonometric formula of cosine in the right angle triangle,

cosθ=xrx=rcosθ

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Complete the square to describe the conics in Exercises 18-21.

2x2+4x-y2-6y-23=0

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

The spiralr=θfor0≤θ≤2π

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

r=α1+sinθ

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.

foci(0,±4), directricesy=±2

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.

θ=π4
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free