/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 4 Fill in the blanks to convert be... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

θ=.......

Short Answer

Expert verified

The value ofθ=tan-1yx

Step by step solution

01

Step 1. Given information

Polar coordinate has an angle θ

02

Step 2. Convert angle into rectangular coordinate.

Draw a diagram of circle of radius rand let a point localid="1652262156969" P(x,y)on the circle

Let the rectangular point (x,y)

So in the polar plane, we can see that in the right-angle triangle,

tanθ=yxθ=tan-1yx

Suppose if rectangular coordinates of a point is (1,2)

Thenθ=tan-121

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.