/*! 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 10 State the period of each functio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 10

State the period of each function. $$y=\frac{1}{2} \cot 2 x$$

Short Answer

Expert verified
The period of the function \(y=\frac{1}{2} cot(2x)\) is \(\pi / 2\).

Step by step solution

01

Identify Function Form

We first identify the function is given in the form of \(cot(Bx)\), where B equals 2.
02

Apply Period Formula

Step 2 is to apply the formula that gives the period of the cotangent function. The formula is \(\pi / B\), where B equals 2.
03

Calculate the Period

The period is then calculated as \(\pi / B = \pi / 2 \).

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

Write an equation for a sine function using the given information. Amplitude \(=5 ;\) period \(=\frac{2 \pi}{3}\)

Explain how to use the graph of \(y=f(x)\) to produce the graph of \(y=f(x-2)+3 .[1.6]\)

Graph at least one full period of the function defined by each equation. $$y=|-2 \cos 3 x|$$

Graph at least one full period of the function defined by each equation. $$y=3 \cos \frac{3 \pi x}{2}$$

Estimate, to the nearest tenth, \(\cot \frac{\pi}{3} .[4.2]\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

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.