2/9/12 sect. 7.4 trigonometric (trig) ratios notes: swbat compute trigonometric ratios- sine, cosine...

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2/6/12 Sect. 7.3 Special Right Triangles: SWBAT use properties of : and triangles. Bell Ringer : Go over Worksheet Practice 7.2, 7.1 HW Requests: pg 346 #35-38, 41, 44; Special Assignment. FQ 1: How do we derive special triangles from equilateral and squares? HW: pg 360 #12-17, 18-24 evens, pg 362

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Page 1: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

2/6/12 Sect. 7.3 Special Right Triangles:SWBAT use properties of : and triangles.

Bell Ringer: Go over Worksheet Practice 7.2, 7.1

HW Requests: pg 346 #35-38, 41, 44; Special Assignment.

FQ 1: How do we derive special triangles from equilateral and squares?

HW: pg 360 #12-17, 18-24 evens, pg 362 #48, 50; Announcements: ******Quiz: Friday 7.1 -7.3

Page 2: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

2/7/12 Sect. 7.3 Special Right Triangles:SWBAT use properties of : and triangles.

Bell Ringer: Reading across the content - VocabularyParking Lot: Worksheet Practice 7.1; pg 346 #35-38, 41, 44; HW Requests: pg 360 #12-17, pg 362 #48, 50;

HW:, pg 360 19-25 odds, 26, 31, 36-38, 40, 41In Class: WorksheetFQ 1: How do we derive special triangles from equilateral and squares?Announcements: ******Quiz: Friday 7.1 -7.3

Page 3: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

2/8/12 Sect. 7.3 Special Right Triangles:SWBAT use properties of : and triangles.Bell Ringer: Go over Worksheet 7.1Parking Lot: Worksheet Practice 7.1; pg 346 #35-38, 41, 44; HW Requests: #18, 20, 25

HW: Carry over pg 360 19-25 odds, 26, 31, 36-38, 40, #12-17, 18-24 evens ADD 27, 29 Bonus: #28Complete TIA Reading Across the Content

In Class: Finish Worksheet pg 361 #22, 23, 26HW: Announcements: ******Quiz: Friday 7.1 -7.3

Page 4: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering.

Bell Ringer: pg 360 #10HW Requests: pg 360 21- 26, 31, 36-38, 40, ADD 27, 29; Complete TIA Reading Across the ContentBonus: #28 (15 minutes)Homework: pg 368 #19-35 odds

FQ 1 Do trig ratios depend on the size of the right triangle?FQ 2 What is SOH-CAH-TOA?FQ 3 How are trig ratios used in navigation and construction?Exit Ticket: pg. 367 #6, 7, 18, 22Announcements: Friday - Quiz 7.1-7.3

Page 5: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

2/10/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, using right angles and they will solve problems using Trig RatiosTrig Ratios - building blocks of science & engineering.

Bell Ringer: Quiz 7.1-7.3 (15 minutes)HW Requests – pg 368 #19-35Homework: Worksheet 7.4

Ex: pg 368 #13-15Exit Ticket: pg 367 #40-48Announcements:

Page 6: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

30-60-90 Right Triangle Hypotenuse = 2n Short leg, opposite 30 = n Long leg, opposite 60 =

Special Right

Triangles

n2n

30

60

3n

3n

n

n

2n

45

45

45-45-90 Right Triangle

Page 7: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

Sin, Cos and Tan

In any right triangle, for any angle:

sine of angle = length of the opposite side OPP length of the hypotenuse HYP

cosine of angle = length of the adjacent side ADJ length of the hypotenuse HYP

tangent of angle = length of the opposite side OPP length of the adjacent side ADJShorthand notation: sin = o/h cos = a/h tan = o/aOften remembered by: soh cah toa

A

P

QA

A

opposite P

adjacent P

h

Page 8: 2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering

Trig Ratios

For an To find trig ratio To find the Sin = Opp Sin-1 Opp = Hyp Hyp Cos = Adj Cos-1 Adj = Hyp Hyp Tan =Opp Tan-1 Opp = Adj Adj