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w4d3 trig 1.notebook 1 May 01, 2013 Aug 911:10 PM Aim: Due Today: Due Next Class: Get Ready: What is Trigonometry? HW 8 HW 7 8VH WKH S\WKDJRUHDQ WKHRUHP WR ILQG WKH PLVVLQJ VLGHV RI WKH IROORZLQJ WULDQJOHV <RXU DQVZHU VKRXOG EH LQ VLPSOHVW UDGLFDO IRUP 6 ft 8 ft c 4cm 4 √2 cm a Unit: Radicals and Trig Lesson: 4.3.3 May 1st Get Ready

w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

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Page 1: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

1

May 01, 2013

Aug 9­11:10 PM

Aim:

Due Today: Due Next Class: 

Get Ready:   

What is Trigonometry?

HW  8HW  7

Use the pythagorean theorem to find the missing sides of the following triangles. Your answer should be in simplest radical form.

6 ft

8 ft

c 4cm

4 √2 cm

a

Unit: Radicals and TrigLesson: 4.3.3

May 1st

Get Ready

Page 2: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

2

May 01, 2013

Feb 2­1:06 PM

Homework Review

Page 3: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

3

May 01, 2013

May 1­2:46 PM

Page 4: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

4

May 01, 2013

May 1­2:47 PM

Page 5: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

5

May 01, 2013

May 1­2:49 PM

Page 6: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

6

May 01, 2013

Jan 21­1:39 PM

Identify the Hypotenuse

h

h

h

h

h

hh

Page 7: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

7

May 01, 2013

Apr 25­4:06 PM

What is Trigonometry ???

Page 8: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

8

May 01, 2013

Jan 22­11:26 AM

A

Each angle in a triangle has an opposite side and an adjacent side.  

The hypotenuse is NEVER the opposite or the adjacent side. 

B

Page 9: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

9

May 01, 2013

Jan 22­11:29 AM

JD

O A H O A H

Page 10: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

10

May 01, 2013

Apr 30­2:15 PM

Trig 1: Finding Trig Ratios

Page 11: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

11

May 01, 2013

Jan 22­11:40 AM

The Sine Function

The sine of an angle is the measure of the opposite side divided by the measure of the hypotenuse.  

sin =  oppositehypotenuse

A

10 in

8 in

6 in

Sin A = 

Page 12: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

12

May 01, 2013

Jan 22­11:42 AM

The Cosine Function

The cosine of an angle is the measure of the adjacent side divided by the measure of the hypotenuse.  

cos =  adjacenthypotenuse

A

10 in

8 in

6 in

cos A = 

Page 13: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

13

May 01, 2013

Jan 22­11:44 AM

The Tangent Function

The tangent of an angle is the measure of the opposite side divided by the measure of the adjacent side.  

tan =  opposite adjacent 

A

10 in

8 in

6 in

tan A = 

Page 14: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

14

May 01, 2013

May 1­3:06 PM

Page 15: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

15

May 01, 2013

Apr 25­4:09 PM

Page 16: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

16

May 01, 2013

May 1­11:16 AM

How can we use the Calculator to find the Trig Value of an angel?

sin 48o

cos 115o

tan 87o

Page 17: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

17

May 01, 2013

Jan 22­11:45 AM

a

b

a

b6.1 in 

9.2 in 

11.04 in 

sin b= _______

12 m

11 m16.3 m

tan a = _______

4.5 cm 

10 cm 11 cm 

cos a= _______

17 ft

7 ft

sin b= _______

Page 18: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

18

May 01, 2013

Jan 22­3:28 PM

4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

5. The tangent ratio for an angle b is 9/7. What is the length of the side opposite of angle b?

6. The hypotenuse of a right triangle is 15 cm in length. The tangent ratio for an angle b in the triangle is 9/12. Draw a picture of the triangle.

17

9

Page 19: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

19

May 01, 2013

Jan 22­11:58 AM

Page 20: w4d3- trig 1.notebook · 4/4/2013  · w4d3 trig 1.notebook 18 May 01, 2013 Jan 223:28 PM 4. The sine ratio for an angle a is 14/17. What is the length of the hypotenuse of the triangle?

w4d3­ trig 1.notebook

20

May 01, 2013

Aug 9­11:14 PM

Recap

Next Class:  Due Next Time:

Key Points