/*! 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 3 Convert each angle to radian mea... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 3

Convert each angle to radian measure. $$ 330^{\circ} $$

Short Answer

Expert verified
The angle \(330^{\circ}\) is equivalent to \(\frac{11\pi}{6}\) radians.

Step by step solution

01

Given angle

The provided angle in degree measure is \(330^{\circ}\). Step 2: Determine the conversion factor
02

Conversion factor

The conversion factor between degrees and radians is \(\frac{\pi}{180^{\circ}}\). Step 3: Convert the angle to radians
03

Conversion to radians

To convert \(330^{\circ}\) to radians, multiply by the conversion factor: \(330^{\circ} \times \frac{\pi}{180^{\circ}} = \frac{330\pi}{180}\) Step 4: Simplify the expression
04

Simplification

Now, we need to simplify the expression. We can see that \(330\) and \(180\) share a common factor of 30: \(\frac{330\pi}{180} = \frac{11\pi}{6}\) So, the angle \(330^{\circ}\) is equivalent to \(\frac{11\pi}{6}\) radians.

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

Find the inverse of \(f .\) Then sketch the graphs of \(f\) and \(f^{-1}\) on the same set of axes. $$ f(x)=x^{3}+1 $$

Show that \(f\) and \(g\) are inverses of each other by verifying that \(f[g(x)]=x\) and \(g[f(x)]=x\). $$ f(x)=\frac{1+x}{1-x} ; \quad g(x)=\frac{x-1}{x+1} $$

a. Plot the graph of \(f(x)=\sqrt{x} \sqrt{x-1}\) using the viewing window \([-5,5] \times[-5,5]\). b. Plot the graph of \(g(x)=\sqrt{x(x-1)}\) using the viewing window \([-5,5] \times[-5,5]\). c. In what interval are the functions \(f\) and \(g\) identical? d. Verify your observation in part (c) analytically.

Plot the graph of the function \(f\) in an appropriate viewing window. (Note: The answer is not unique.) $$ f(x)=x^{2}-0.1 x $$

You are given the graph of a function \(f .\) Determine whether \(f\) is one-to- one.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Calculus

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.