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Day 2 2017sine and cosine no appl problems.notebook 1 June 27, 2017 Jan 75:57 PM Name the sides of the triangles: opp, adj, hyp

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Page 1: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

1

June 27, 2017

Jan 7­5:57 PM

Name the sides of the triangles:  opp, adj, hyp

Page 2: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

2

June 27, 2017

Jan 7­5:58 PM

Solve for x

10x

7

x30

15

1.2.

Page 3: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

3

June 27, 2017

Jan 7­5:58 PM

8

x30

Page 4: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

4

June 27, 2017

Apr 8­3:06 PM

Before today's lesson,  let's review the tangent ratio

#1.  Find the unknown angle to the nearest tenth of a degree

45 cm

28 cmθ

#2.  Find the length of the side indicated to the nearest hundredth.

x39o

12 m

Page 5: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

5

June 27, 2017

Jan 7­5:55 PM

2.4 & 2.5Sine and Cosine Ratio

Lesson Objective:

        To solve for unknown sides and 

        angles in a right triange.

2.4 & 2.5Sine and Cosine Ratio

Page 6: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

6

June 27, 2017

Tangent Ratio Intro

2.4 Sine and Cosine to Calculate Angles

Lesson Focus: Applying Sine and Cosine Ratios to Calculate Angles

2.4 Sine and Cosinet Ratios to Calculate Angles

AB

C

θ

hypotenuse

oppo

site

adjacent

sin θ = oppositehypotenuse

cos θ = adjacenthypotenuse

Page 7: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

7

June 27, 2017

Feb 11­2:27 PM

SOH      CAH       TOA

Page 8: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

8

June 27, 2017

Tangent Ratio Intro

2.4 Sine and Cosine to Calculate Angles

Lesson Focus: Applying Sine and Cosine Ratios to Calculate Angles

2.4 Sine and Cosinet Ratios to Calculate Angles

Example 1:

#1 Use the sine ratio to determine the measure of angle D to the nearest degree

#2.  Use the cosine ratio to determine the measure of the angle D to the nearest degree.

ç ?

Page 9: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

9

June 27, 2017

Tangent Ratio Intro

2.4 Sine and Cosine to Calculate Angles

2.4 Sine and Cosinet Ratios to Calculate Angles

Example 2:Determine the measure of angle G to the nearest tenth of a degree.

Page 10: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

10

June 27, 2017

Nov 4­9:01 AM

ç ?

Determine the length of BC to the nearest tenth of a centimeter.

Page 11: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

11

June 27, 2017

Nov 4­9:02 AM

?

ç ?

Ex 2:  Determine the length of DE to the nearest tenth of a cm.

Page 12: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

12

June 27, 2017

Feb 11­2:54 PM

Calculate

Cos 45 =

Sin     = 0.5

Page 13: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

13

June 27, 2017

Nov 4­9:03 AM

Chapters 2.4 and 2.5Using the Sine and Cosine ratios to determine unknown angles or unknown sides

Homework  Not quite getting it Getting There Pretty Sure I have it!

page 95  #4a,7 ­ 10 (ab only)

page 101 # 3ab,4ab, 5ab, 6

page 95 #7b. 8b, 10ab, 11, 12

page 101 #3b, 4b, 5ab, 6, 7

page 95  # 10 all, 11 ­ 14page 101 # 5 all, 6 ­ 9

Page 14: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

14

June 27, 2017

Tangent Ratio Intro

2.4 Sine and Cosine to Calculate Angles

Lesson Focus: Applying Sine and Cosine Ratios to Calculate Angles

Check YOUR understandingAn observer is sitting on a dock watching a float plane in the harbour.  At a certain time, the plane is 300 m above the water and 430 m from the observer.  Determine the angle of elevation of the plane measured from the observer, to the nearest degree.

ç

2.4 Sine and Cosinet Ratios to Calculate Angles

Page 15: Name the sides of the triangles: opp, adj, hyptoshmath421a.weebly.com/.../43188271/day_2_2017sine...Day 2 2017sine and cosine no appl problems.notebook 2 June 27, 2017 Jan 75:58 PM

Day 2 2017sine and cosine no appl problems.notebook

15

June 27, 2017

Tangent Ratio Intro

2.4 Sine and Cosine to Calculate Angles

Lesson Focus: Applying Sine and Cosine Ratios to Calculate Angles

2.4 Sine and Cosinet Ratios to Calculate Angles

Example 4:A water bomber is flying at an altitude of 5000 ft.  The plane's radar shows that it is 8000 ft. from the target site.  What is the angle of elevation of the plane measured from the target site, to the nearest degree?

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