### Create a StudySoup account

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

Already have a StudySoup account? Login here

# GLOBAL LEADERSHIP Uni Stu 6

UCI

GPA 3.61

### View Full Document

## 42

## 0

## Popular in Course

## Popular in University Studies

This 4 page Class Notes was uploaded by Danielle Moore on Saturday September 12, 2015. The Class Notes belongs to Uni Stu 6 at University of California - Irvine taught by Staff in Fall. Since its upload, it has received 42 views. For similar materials see /class/201930/uni-stu-6-university-of-california-irvine in University Studies at University of California - Irvine.

## Similar to Uni Stu 6 at UCI

## Popular in University Studies

## Reviews for GLOBAL LEADERSHIP

### What is Karma?

#### Karma is the currency of StudySoup.

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

Date Created: 09/12/15

Chapter 6 Trigonometric Identities and Conditional Equations 61 Basic Identities and Their Use 62 Sum Difference and Confunction Identities 63 DoubleAngle and HalfAngle Identities 64 ProduceSum and SumProduct Identities 65 Trigonometric Equations Identity An equation in one or more variables is said to be an identity if the left side is equal to the right side for all replacements of the variables for which both sides are de ned For example7 the equation 272m78x74x2 is an identity Conditional equation An equation in one or more variables is said to be a conditional equation if the equation holds only for certain values of z and not for all values for which both sides are de ned For example7 the equation m2 7 2 m 7 8 0 is a conditional equation 61 Basic Identities and Their Use Basic Identities Basic Trigonometric Identities For x any real number in all restricted so that both sides of an equation are de ned Reciprocal Identities 1 cscm i secm cotz7 s1n z cos x tan z Quotient Identities sin z cos x cos x sin z Identities for Negatives sin7z isinz cos7m cosz tan7z itanz Pythagorean Identities sin2zcos2z1 tan2m1sec2z 1cot2mcsc2z i 2 i2 tan21 smz 1 s1n z1 cos x cos2 x sin2 z cos2 x sin2 z cos2 x cos2 x cos2 cos2 x 1 72 secZ ac cos no 2 cos x 2 sin2 z cos2 x 1 cot z 1 i i 2 i 2 sin no sin no sin no sin2 z cos2 x sin2 z cos2 x sin2 z sin2 sin2 z f csc2 no sin ac Establishing Other Identities Identities are established in order to convert one form to an equivalent form that may be more useful To verify an identity means to prove that both sides of an equation are equal for all replacements of the variables for which both sides are de ned Such a proof might use basic identities7 factoring7 combining and reducing fractions7 and so on The methods to verify certain identities are not unique To become pro cient in the use 3 of identities it is important that you work out many problems on your own Example Verify the identities A cosztanz sin z B sec7m sec x C cotzcosz sinz cscm Solution To verify an identity we proceed by starting with the more com plicated of the two sides and transform that side into the other side in one or more steps using basic identities algebra or other established identities sin z cos mtan z cos x COS sec7m cos as cotmcoszs1nz coszs1nz sin 95 cos2 as s1n z sin 95 cos2 x sin2 z sin z sin z csc as D Suggested steps in verifying identitiesPage 454 of the textbook 1 Start With the more complicated side of the identity and transform it into the simpler side 2 Try algebraic operations such as multiplying factoring combining fractions and splitting fractions 3 If other steps fail express each function in terms of sine and cosine functions and then perform appropriate algebraic operations 4 At each step keep the other side of the identity in mind This often reveals what you should do in order to get there Review of the algebraic identities l ab2 a2 2abb2 2 ab2a22abb2 3 a2b2abab 4 a3b3aba2abb3 5 a3b3aba2abb3 a 0 6 WVT a c ac 7777 12 b b a c adcb lt8gt77 b d7 dbd b a c a 0 9 gig ac bd Warm Example verify the identities 1sinm cosz A 7A 2 seem cosz 1s1nm sin2z2 sinz1 1sinm B cosZz 1sinm tanzcotm C 12 coszz tanm cot z Solution 1 sinz cosz 7 1 sinz2 coszz cosz 1sinm 7 cosz1sinm 12 sinzsin2mcos2z cosz1sin 12 sinz1 cosz 1 sinz 22 sinz cosz 1 sinz 21sinz cosz 1 sinz 2 cosm 2 sec z

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### 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

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I made $350 in just two days after posting my first study guide."

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### 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.