/*! 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} Q. 102 Explain the term period as it re... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 102 (page 412)

Explain the term period as it relates to the graph of a sinusoidal function.

Short Answer

Expert verified

The term period represents the value after which the graph of a sinusoidal function starts repeating itself.

Step by step solution

01

Step 1. Concept Used

If 蝇>0, then the amplitude and period of y=Asin(蝇x)and y=Acos(蝇x)are given by

Amplitude=A

Period=2蟺蝇

02

Step 2. Find what period represents

The period of a cyclic function gives the x values after which the function starts repeating.

Sinusoidal functions of the form y=Asin(蝇x)or y=Acos(蝇x)where 蝇>0are cyclic functions and their period is denoted as T=2蟺蝇.

This means that the sinusoidal functions will start repeating after every 2蟺蝇, and its one cycle is given by the interval0,2蟺蝇.

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

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function

(-5,11),cos蠎

Difference in Time of Sunrise Naples, Florida, is approximately 90 miles due west of Ft. Lauderdale. How much sooner would a person in Ft. Lauderdale first see the rising Sun than a person in Naples? See the hint. [Hint: Consult the figure. When a person at Q sees the first rays of the Sun, a person at P is still in the dark. The person at P sees the first rays after Earth has rotated so that P is at the location Q. Now use the fact that at the latitude of Ft. Lauderdale in 24 hours an arc of length 2蟺3559miles is subtended.]

In Problems 13鈥�20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

12,-32.

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

13蟺6

In Problems 4-6convert each angle in radians to degrees.

5.9蟺2
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

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.