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 161 Views

Recommend Documents

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.

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

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.

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.Missing:

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.

BLOCK SECRETARY thozhilvartha.pdf
La! hahadur shatsri manage internet protocol d) Thermoluminescence coveradolescent girls of 57. Sanskrit Express started to 69. The newbrowser by Microsoft.

Board Block Diagram & Schematics - GitHub
Jul 1, 2016 - Page 1 ... Designer : drawer : Print Area X:1550 Y:1110. 1 ..... R74. 4.7K. 2. 1. R75. 4.7K. +1.8V. SOIC8. CS. 1. SO. 2. WP. 3. GND. 4. VCC. 8.