/*! 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} Problem 44 Determine the quadrant in which ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 44

Determine the quadrant in which each angle lies. (a) \(-260^{\circ}\) (b) \(-3.4^{\circ}\)

Short Answer

Expert verified
The angle \(-260^{\circ}\) lies in Quadrant I, and the angle \(-3.4^{\circ}\) lies in Quadrant IV.

Step by step solution

01

Determine Quadrant 1

For the angle of \(-260^{\circ}\), positive angles are usually measured counterclockwise from the positive x-axis while negative angles are measured clockwise. The magnitude of \(-260^{\circ}\) exceeds \(180^{\circ}\) (since \(260 > 180\)), indicating that the angle has passed Quadrant II, but has not completed a full rotation of \(360^{\circ}\). Thus, \(-260^{\circ}\) falls in Quadrant I.
02

Determine Quadrant 2

Now consider the angle of \(-3.4^{\circ}\). Again, negative angles are measured clockwise from the positive x-axis and since no full rotation of \(360^{\circ}\) has been completed, we can observe that the angle lies in the short interval between the positive x-axis and mechanism starting to move to the negative x-axis. Thus, the angle \(-3.4^{\circ}\) falls in Quadrant IV.

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 91影视!

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

Use a graphing utility to graph \(f, g\), and \(y=x\) in the same viewing window to verify geometrically that \(g\) is the inverse function of \(f\). (Be sure to restrict the domain of \(f\) properly.) $$ f(x)=\sin x, \quad g(x)=\arcsin x $$

Angles that measure between 0 and \(\pi / 2\) are ______ angles, and angles that measure between \(\pi / 2\) and \(\pi\) are ______ angles.

Convert each angle measure to degrees, minutes, and seconds without using a calculator. Then check your answers using a calculator. $$ \text { (a) } 240.6^{\circ} $$

Use a graphing utility to graph the function. Include two full periods. Be sure to choose an appropriate viewing window. $$ y=\frac{1}{100} \sin 120 \pi t $$

A sprinkler on a golf green is set to spray water over a distance of 15 meters and to rotate through an angle of \(140^{\circ} .\) Draw a diagram that shows the region that can be irrigated with the sprinkler. Find the area of the region.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

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.