5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Fundamental  Identities

Nov 4­10:28 AM

Fundamental Identities                                      Goals: • • •

Recognize and write identities Evaluate trig functions using identities Simply and rewrite trig expressions

Feb 2­6:47 AM

1

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Basic Trigonometric Identities Reciprocal Identities Directions: Move each identity piece into its proper location to match.

Dec 19­5:41 AM

Quotient Identities

Pythagorean Identities

May 19­7:33 AM

2

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Pythagorean Identities on Unit Circle EX #1:  If you know the basic identity, it’s easy to derive  the others. 

Feb 2­7:09 AM

Simplify and Factor Expressions EX #2:  Use a quotient identity to simplify and rewrite.

EX #3:  Use the idea of “decomposing” fractions to simplify  and rewrite.  

Case #1:

Case #2:

Feb 2­7:10 AM

3

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

EX #4:  Factor completely. A.

B.

Feb 2­7:12 AM

C.

D.

May 29­10:45 AM

4

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Simplifying by Expanding  and Using Identities EX. #5:   Simplify

Feb 2­7:14 AM

EX. #6:  Rewrite so expression is NOT in fractional form.

May 19­7:54 AM

5

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Simplifying by Combining Fractions  and Using Identities EX #7:  Simplify the expression:  

Get Common Denominators:

Use Pythagorean Identity to simplify.   Feb 2­7:15 AM

Solving Trigonometric Equations EX #8:  Find all values of x in the interval 

Technique:  1.   Change everything to sine & cosine. 2.   Multiply both sides by  sin x to clear fraction. 3.   Factor 4.  Simplify using Pythagorean Identity. 5.  Solve using the unit circle:

Feb 2­7:16 AM

6

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Even, Odd and Co­Functions Co­functions are complements of some trig function.  Namely, angles that are complements add to 90 degrees  and have the same trig ratios. 

Co­function Identities

Feb 3­8:04 AM

Even, Odd and Co­Functions EX #9: If                               find

Feb 3­8:04 AM

7

5­2­17 Fundamental Identities, block 3.notebook

May 02, 2017

Odd­Even Identities ODD

EVEN

EX #10:  Simplify

Feb 3­12:15 PM

Dec 19­5:41 AM

8

5-2-17 Fundamental Identities, block 3.notebook

5217 Fundamental Identities, block 3.notebook. 1. May 02, 2017. Nov 410:28 AM. Fundamental. Identities. Feb 26:47 AM. Fundamental Identities. Goals: • Recognize and write identities. • Evaluate trig functions using identities. • Simply and rewrite trig expressions ...

2MB Sizes 1 Downloads 216 Views

Recommend Documents

Block
What does Elie's father learn at the special meeting of the Council? 11. Who were their first oppressors and how did Wiesel say he felt about them? 12. Who was ...

Block
10. What does Elie's father learn at the special meeting of the Council? 11. Who were their ... 5. What did the Jews in the train car discover when they looked out the window? 6. When did ... How did Elie describe the men after the air raid? 8.

5217-Building Maintenance Mechanic-Veteran's JH.pdf
Page 1 of 1. PLEASE DO NOT REMOVE THIS POSTING FROM BULLETIN BOARD. POSTING # 5217. November 22, 2017. NOTICE OF VACANCY. POSITION: Building and Maintenance Mechanic –Veteran's Junior High School. CLASSIFICATION: 15. SHIFT: Days - (6:00am to 2:00pm

The LED Block Cipher
AddConstants: xor round-dependent constants to the two first columns ..... cube testers: the best we could find within practical time complexity is ... 57 cycles/byte.

1st Block
Dec 10, 2009 - 50 20 10 20 70. **Grading Completed: 10 Assmnts. 10928. 5. 5. 13. 10. 13. 28 16 10 20 29. 67.42. 11332. 5. 5. 15. 10. 15. 46 18. 5 19 61. 90.04.

block panchayat.pdf
Which Arab traveller visited Security Act (MISA) was party of? (c) HimachalPradesh (c) Indian Iron & Steel Co. ... (b) RajendraSingh (d) MN GovindanNair for a file with a high degree (d) expert. www.keralapsctips.blogspot.in ... (a) 120 (b) 150 was I

AV​ ​BLOCK MarkTuttleMD.com
Mobitz​​II​​block​​is​​usually​​located​​in​​the​​infra-His​​conduction​​system​​(wide​​QRS​​in​​80%​​of​​cases)​​but​​can.

Block Watcher -
Internet Protocol)? If so, you may want to check to make sure you have enhanced 911 service. Without ... internet company when she moved. If you have Voice ...

2001. Albert. Identities, Borders, Orders. Rethinking International ...
editors, Identities, Borders, Orders: Rethinking International. Relations Theory. Volume 17 Jenny Edkins, Whose Hunger? Concepts of Famine,. Practices of Aid. Volume 16 Jennifer Hyndman, Managing Displacement: Refugees. and the Politics of Humanitari

BLOCK SECRETARY thozhilvartha.pdf
The first medical college in (d) wherever. Dipersion b) Tamil Nadu 32. Which is the river that flows ... INSATC-21 d) SwathiThirunal I c) Manju Varior I a) Geneva b)Vienna 1 76. Hardly had the train moved - .75th Amendment 123) The ..... BLOCK SECRET

Block 2 Trim.pdf
connection oriented protocols are reliable network services that provide guarantees that data will. arrive in the proper sequence, however, they place a greater ...

BLOCK 3.pdf
computer systems to ensure the availability, integrity, and confidentiality of. information. ... a committee in Oasis-Open. The protocol .... BLOCK 3.pdf. BLOCK 3.

Block 1.pdf
There was a problem previewing this document. Retrying... Download. Connect more apps... Try one of the apps below to open or edit this item. Block 1.pdf.Missing:

APA Block Quotes.pdf
models, research questions, hypothesis, and specification of information needed. The. research ... APA Block Quotes.pdf. APA Block Quotes.pdf. Open. Extract.

Block 1.pdf
There was a problem previewing this document. Retrying... Download. Connect more apps... Try one of the apps below to open or edit this item. Block 1.pdf.

BLOCK SECRETARY thozhilvartha.pdf
Page 1 of 2. 2015 2eJ3O4 1wiimm 19: 2, The flst girls school in Soul of the Constitution' by d) Benzyl chloride outputs? which have rural broadband 68) First ...

command block minecraft.pdf
command block minecraft.pdf. command block minecraft.pdf. Open. Extract. Open with. Sign In. Main menu. Displaying command block minecraft.pdf. Page 1 of ...

block – 4
string in a particular font, and method getLeading() to get the appropriate line spacing for the font. There are many more methods in ..... ->Gives choices for multiple options. JButton -> Accepts command and does the action .... The common analogy i

Helping Whites Develop Anti-Racist Identities - Eric
to change their lives in any substantial ... Helping Whites Develop Anti-Racist Identities: ..... cess, we will continue to fall into a cycle of .... APPLICATIONS: Review of applicant files began on December 1, 2006 and applications will continue to 

Coping with potentially incompatible identities
Page 1 .... universal processes, namely continuity across time and situation, uniqueness or distinctiveness from others ...... Islamic business ethics. Herndon, VA: ...

Information-Theoretic Identities, Part 1
Jan 29, 2007 - Each case above has one inequality which is easy to see. If. X − Y − Z forms a Markov chain, then, I(X; Z|Y ) = 0. We know that I(X; Z) ≥ 0. So, I(X; Z|Y ) ≤ I(X; Z). On the other hand, if X and Z are independent, then I(X; Z)