Open in App
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Chapter 27: Chapter 27

Problem 845

Next question

What primary angle is coterminal with the angle of \(1243^{\circ}\) ?

Short Answer

Expert verified
The primary angle coterminal with the angle \(1243^\circ\) is \(163^\circ\).
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Try Premium for free

Over 22 million students worldwide already upgrade their learning with Vaia!

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Find the number of full rotations

To determine how many full rotations the given angle goes through, we will divide the angle by \(360^\circ\). Since we are only concerned with full rotations, we will take the quotient without the remainder. Number of full rotations = \(Q = \frac{1243}{360} \approx 3\) (ignoring the remainder) This means that the given angle goes through 3 complete rotations and some additional degrees.

Step 2: Subtract the full rotations from the given angle

We subtract all full rotations from the given angle to obtain the primary angle coterminal with the given angle. Primary angle = \( 1243 - (3\times 360) = 1243 - 1080 = 163^{\circ}\) Thus, \(163^\circ\) is the primary angle coterminal with the given angle of \(1243^\circ\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 27

If \(0, t,(1 / 2) \pi\), and \(\tan t=(1 / 2) \sqrt{5}\), find \(\cos t\).
Chapter 27

Given that \(\tan \theta=2\) and \(\cos \theta\) is negative, find the other functions of \(\theta\).
Chapter 27

Find \(\theta\) if \(\cos \theta=-0.5731\) and \(0 \leq \theta \leq 360^{\circ}\).
Chapter 27

Find the values of the six trigonometric functions of an angle, in a right triangle, whose opposite side is 3 and hypotenuse \(5 .\)
Chapter 27

If \(\tan \theta=3.8436\), find \(\theta\).
See all solutions

More chapters from the book ‘Algebra and Trigonometry’

See all chapters

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App
Create your free account now
Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Math

Pure Maths

Read Explanation
Math

Calculus

Read Explanation
Math

Decision Maths

Read Explanation
Math

Statistics

Read Explanation
Math

Probability and Statistics

Read Explanation
Math

Mechanics Maths

Read Explanation
View all explanations