/*! 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 103 Describe an angle in standard po... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 103

Describe an angle in standard position.

Short Answer

Expert verified
An angle in standard position is located on the Cartesian plane with its vertex at the origin and the initial side along the positive x-axis. The direction of the angle is determined by the rotation from the positive x-axis: counter-clockwise is positive and clockwise is negative.

Step by step solution

01

Understand the Elements of an Angle in Standard Position

In the 'standard position', an angle is positioned on a Cartesian plane with its vertex at the origin (0,0), and its initial side along the positive x-axis.
02

Identify the features of this Position

The 'measure' of this angle depends on the amount of rotation from the initial side to the terminal side (the end point). If the rotation is counter-clockwise, the angle is positive. If the rotation is clockwise, the angle is negative.
03

Interpret the location of the Angle

Taking into account all the described steps, an angle in standard position can be described not only by its measure, but also by the direction of its rotation, and its location on the Cartesian plane, with its vertex at the origin and its initial side along the positive x-axis.

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

In Exercises \(113-116\), use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and seconds \(\left(D^{\circ} M^{\prime} S^{\prime \prime}\right)\) into decimal form, and vice versa. In Exercises \(113-114\), convert each angle to a decimal in degrees. Round your answer to two decimal places. $$ 65^{\circ} 45^{\prime} 20^{\prime \prime} $$

If \(\sin ^{-1}\left(\sin \frac{\pi}{3}\right)=\frac{\pi}{3},\) is \(\sin ^{-1}\left(\sin \frac{5 \pi}{6}\right)=\frac{5 \pi}{6} ?\) Explain your answer.

Determine the domain and the range of each function. $$ f(x)=\sin ^{-1}(\cos x) $$

Use a graphing utility to graph two periodsof the function. Use a graphing utility to graph \(y=\cos x\) and \(y=1-\frac{x^{2}}{2}+\frac{x^{4}}{24}\) in a \(\left[-\pi, \pi, \frac{\pi}{2}\right]\) by \([-2,2,1]\) viewing rectangle. How do the graphs compare?

In Exercises \(115-116,\) convert each angle to \(D^{\circ} M^{\prime} S^{\prime \prime}\) form. Round your answer to the nearest second. $$ 50.42^{\circ} $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete 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.