×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

### Create a StudySoup account

#### Be part of our community, it's free to join!

or

##### By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

## MAT 110 Chapter 7 Study Guide

by: Sterling Notetaker

13

0

5

# MAT 110 Chapter 7 Study Guide MAT 110

Marketplace > Barry University > Mathmatics > MAT 110 > MAT 110 Chapter 7 Study Guide
Sterling Notetaker
Barry University
GPA 3.7

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

### Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

These will be the notes specialized for the Chapter 7 test.
COURSE
Precalculus Mathematics 2
PROF.
Dr. Singh
TYPE
Study Guide
PAGES
5
WORDS
CONCEPTS
Precalculus
KARMA
50 ?

## Popular in Mathmatics

This 5 page Study Guide was uploaded by Sterling Notetaker on Tuesday May 31, 2016. The Study Guide belongs to MAT 110 at Barry University taught by Dr. Singh in Fall 2016. Since its upload, it has received 13 views. For similar materials see Precalculus Mathematics 2 in Mathmatics at Barry University.

×

## Reviews for MAT 110 Chapter 7 Study Guide

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 05/31/16
MAT 110 PreCalculus Mathematics 2 Chapter 7 Study Guide Notes L. Sterling September 2nd, 2016 Abstract Provide a generalization to each of the key terms listed in this section. 1 De▯nitions 1.1 1 Degree 1 = 1 revoluton 360 1.2 1 Radian 1 radian = 180degrees ▯ 1.3 Acute Angle Degrees : 0 < ▯ < 90 ▯ Radians : 0 < ▯ < 2 1.4 Angle in Standard Position V ertex : Origin Initial Side : Positive X ▯ Axis 1.5 Cofunction In terms of relationships, there are only 3 cofunction relationships: sine and cosine tangent and cotangent secant and cosecant 1 1.6 Complementary Angles When the sum of two acute angles exactly equal 90 . 1.7 Periodic Function f (▯ + p) = f (▯); p > 0 1.8 Reference Angle When the acute angle is formed by the terminal side of ▯ while having the x-axis. 1.9 Trigonometric Functions of Any Angle Point : P (a;b) ! [not the origin] b sin ▯ = r a cos ▯ = r tan ▯ = b; a 6= 0 a r csc ▯ = ; b 6= 0 b r sec ▯ = a; a 6= 0 cot ▯ =a; b 6= 0 b 2 Formulas 2.1 Counterclockwise Revolution 1ccr = 360 = 2▯ 2.2 Arc Length s = r▯ Arc length : s Radius : r Central Angle : ▯ radians 2.3 Circle’s Sector’s Area 1 2 A = 2r ▯ Area of the Sector of a Circle : A Radius : r Central Angle : ▯ radians 2 2.4 Linear Speed v = r! Linear Speed : v Radius : r ▯ radians ▯ Angular Speed : ! unit time 3 Fundamental Identities sin ▯ tan ▯ = cos ▯ cos ▯ cot ▯ = sin ▯ 1 csc ▯ = sin ▯ 1 sec ▯ = cos ▯ 1 cot ▯ = tan ▯ sin ▯ + cos ▯ = 1 tan ▯ + 1 = sec ▯ 2 2 cot ▯ + 1 = csc ▯ 4 Trigonometry Function and Their Properties 4.1 f(x) = y = sin(x) Domain : All Real Numbers = (▯1; 1) Range : [▯1; 1] Function : Odd Symmetric : Origin Period : 2▯ X ▯ Intercepts : Multiples of ▯ Y ▯ Intercept : 0 4.2 f(x) = y = cos(x) Domain : All Real Numbers = (▯1; 1) Range : [▯1; 1] Function : Even Symmetric : y ▯ axis Period : 2▯ X ▯ Intercepts : ▯ Y ▯ Intercept : 1 3 4.3 f(x) = y = tan(x) n ▯ o Domain : x j x 6= + k▯ 2 Range : All Real Numbers Function : Odd Symmetric : Origin Period : 2▯ X ▯ Intercepts : k▯ Y ▯ Intercept : 0 4.4 f(x) = y = csc(x) Domain : fx j x 6= k▯g Range : All Real Numbers Function : Odd Symmetric : Origin Period : ▯ ▯ X ▯ Intercepts : + k▯ 2 4.5 f(x) = y = sec(x) n ▯ o Domain : x j x 6= + k▯ 2 Range : (▯1;▯1] [ [1;1) Function : Odd Symmetric : Origin 4.6 f(x) = y = cot(x) Domain : fx j x 6= k▯g Range : All Real Numbers Function : Odd Symmetric : Origin Period : ▯ X ▯ Intercepts : + k▯ 2 4 5 Sinusoidal Graphs y = A sin(!x) + B; ! > 0 y = A cos(!x) + B; ! > 0 ▯ ▯ ▯▯▯ y = A sin(!x ▯ ▯) + B = A !inx ▯ + B ! ▯ ▯ ▯▯ y = A cos(!x ▯ ▯) + B = A !osx ▯ ▯ + B ! Amplitude : jAj 2▯ Period : ! ▯ Phase Shift : ! 5

×

×

×

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.