Trigonometry worksheets and PowerPoints

OER Math 1060 – Trigonometry

CHAPTER 4 TRIGONOMETRIC IDENTITIES AND FORMULAS. 166. 4.1 The Even/Odd answers. For example when fitting a sine function to the data

Sections 4.1-4.4

. Worksheet by Kuta Software LLC. -4-. Evaluate the trigonometric function using Chapter 4: Trigonometric. Functions. Sections 4.5-4.7. Page 38. © P2w0y1o9G ...

Chapter 4 Trigonometry and the Unit Circle

Chapter 4. Page 7 of 85. Section 4.1 Page 176. Question 12 a) Use a proportion with r = 9.5 and central angle 1.4 radians. arc length central angle.

Worked Examples from Introductory Physics (Algebra–Based) Vol. I

၂၀၁၂၊ အောက် ၃ 4.1.4 Units and Stuff . ... CHAPTER 4. FORCES I. F. F. Rearth. Figure 4.3: Earth exerts force F on ...

Untitled

Trigonometry (4.1-4.4). Name. Key. Chapter 4 Review Problems: Non-calculator. Find the exact value of each of the trigonometric functions given. Watch signs! 5π.

CHAPTER 4 Trigonometric Functions

Section 4.1. Radian and Degree Measure. 273. 9. (a). (b) x y π. 3. 2. 2. 3 x. 11. 6 π Answers will vary. (Make a Decision). □ You should be able to graph: □ ...

tangent – the slope ratio (trigonometry) 4.1.1

In the first section of Chapter 4 students consider different slope triangles for a given line or segment and notice that for each line

Lesson 4.1.1 - 4-6.

The slope ratio for 68°≈ 2.5 so. BC≈ 4 feet. Thus

Chapter 4 Trigonometry

Chapter 4. Trigonometry. Section 4.1 Radian and Degree Measure. Objective: In this lesson you learned how to describe an angle and to convert between radian

NEW GENERAL MATHEMATICS

• Chapter revision test answers: the answers for all the chapter revision tests are Assign questions 1 3 and 4 from Worksheet 4 as homework. Assessment.

Untitled

160 Chapter 4 Trigonometric Functions. Chapter 4 Section 4.1 Angles and Their Measures ... (This would be the answer for any two adjacent lanes.).

Chapter 4 Trigonometry and the Unit Circle

MHR • 978-0-07-0738850 Pre-Calculus 12 Solutions Chapter 4 Section 4.1 Page 175 ... Joran's answer includes the given angle obtained when n = 0.

4 Trigonometric Functions

shown in FIGURE 4.1.4 CHAPTER 4 TRIGONOMETRIC FUNCTIONS ... Exercises 4.1 Answers to selected odd-numbered problems begin on page ANS–14.

Chapter 4

Precalculus with Limits Answers to Section 4.1. 1. Chapter 4. Section 4.1 (page 290) 4. radians. 5. 1 radian. 6. 6.5 radians. 7. (a) Quadrant I.

164 Chapter 4 Trigonometric Functions

4. ? radians. Quick Review 4.1. 1. C=2? 2.5=5? in. 2. C=2? 4.6=9.2? m. 3. 4. (This would be the answer for any two adjacent lanes.).

Chapter 4- Trigonometry

Chapter 4- Trigonometry 4.1 – Special Angles 1 - Worksheet ... 4. Solve the following equations for 0° ? ? 360°. Round answers to the nearest ...

OER Math 1060 – Trigonometry

CHAPTER 4 TRIGONOMETRIC IDENTITIES AND FORMULAS. 166. 4.1 The Even/Odd Identities Use your answer from part (1) to determine the radian measure for ...

Trigonometric Functions

CHAPTER 4 Trigonometric Functions. 4.1. Angles and Their Measures You may use a graphing calculator when answering these questions.

4 Trigonometry - 4.1 Squares and Triangles

Find the length of the hypotenuse of the triangle shown in the diagram. Give your answer correct to. 2 decimal places. Solution. As this is a right angled

Trigonometry worksheets and PowerPoints - DoingMaths

Chapter 4 8 Glencoe Precalculus Word Problem Practice Right Triangle Trigonometry 1 MONUMENTS The Leaning Tower of Pisa in Italy is about 55 9 meters tall and is leaning so it is only about 55 meters above the ground At what angle is the tower leaning? about 10 3° 2 SUBMARINES A submarine that is 250 meters below the surface of the ocean

C H A P T E R 4 Trigonometric Functions - Fraser HS Math

274 Chapter 4 Trigonometric Functions 12 (a) Coterminal angles for (b) Coterminal angles for 5p 4 2 2p5 2 3p 4 5p 4 1 2p5 13 p 4 5p 4: 7p 6 2 2p5 2 5p 6 7p 6 1 2p5 19 p 6 7p 6: 13 (a) Coterminal angles for

Trigonometry Worksheet T1 – Labelling Triangles

Trigonometry Worksheet T4 – Calculating Angles - ANSWERS 1 23 58o sin 0 4 sin 0 4 10 4 sin 1 = = = = ? s s s s 6 38 68o sin 0 625 sin 0 625 8 5 sin 1 = = = = ? b b b b 2 60o cos 0 5 cos 0 5 12 6 cos 1 = = = = ? c c c c 7 73 74o tan 3 428571429 tan 3 428571429 7 24 tan 1 = = = = ? z z z z 3 63 43o tan 2 tan 2 9 18 tan 1

What is a trigonometry worksheet?

A worksheet with various right-angles and isosceles triangles where trigonometry is needed to find the missing side lengths. This worksheet uses cos, sin and tan. A worksheet containing various right-angles triangles with missing angles, requiring the use of trigonometry to find them. This worksheet use sin, cos and tan.

What is Chapter 8 Introduction to trigonometry?

Class 10 Maths Chapter 8 Introduction to Trigonometry is included under Unit 5 Trigonometry of class 10 maths syllabus. Chapter 8 exercise 8.2 covers important questions based on trigonometric ratios of some specific angles. Download PDF: NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.2

What is trigonometry Unit 4?

The topics in this unit serve as the underpinning for trigonometry studied in Unit 4 and provide the first insight into geometry as a modeling tool for contextual situations. This unit begins with Topic A, Dilations off the Coordinate Plane. Students identify properties of dilations by performing dilations using constructions.

NAME DATE PERIOD

Lesson 4-1

Chapter 4 7 Glencoe Precalculus

Find the exact values of the six trigonometric functions of θ. 1. 38

θ 2. 7

Find the value of

x . Round to the nearest tenth, if necessary. 3. 63.1

56°x

19.226 5. On a college campus, the library is 80 yards due east of the dormitory a

nd the recreation center is due north of the library. The college is constructing a sidewa lk from the dormitory to the recreation center. The sidewalk will be at a 56° angle with the current sidewalk between the dormitory and the library. To the nearest yard, how long will the new sidewalk be?

143 yd 6. If cot A = 8, find the exact values of the remaining trigonometric functions for

the acute angle A sin A = ⎷ ?? 65 65
, cos A = 8 ⎷ ?? 65 65
, tan A = 1 8 , sec A = ⎷ ?? 65 8 , csc A = 65

Find the measure of angle

. Round to the nearest degree, if necessary. 7. 23
8. 74
Solve each triangle. Round side measures to the nearest tenth and angle measures to the nearest degree. 9. 14

22°

10. 72
c

11. SWIMMING The swimming pool at Perris Hill Plunge is 50 feet long and 25 feet wide

If the bottom of the pool is slanted so that the water depth is 3 feet a t the shallow end and 15 feet at the deep end, what is the angle of elevation at the botto m of the pool? about 13.5

Practice

Right Triangle Trigonometry

4-1

35.3sin θ =

3 8 , cos θ = ⎷ ?? 55
8 tan θ =

3 ⎷ ??

55
55
, csc θ = 8 3 sec

8 ⎷ ??

55 ?

55
, cot θ = 55
3 sin θ = 24
25
cos θ = 7 25
tan θ = 24
7 , csc θ = 25 24
sec θ = 25
7 , cot θ = 7 24
9.4 42

°55°

NAME DATE PERIOD

Chapter 4 8 Glencoe Precalculus

Word Problem Practice

Right Triangle Trigonometry

1. MONUMENTSThe Leaning Tower of

Pisa in Italy is about 55.9 meters tall

and is leaning so it is only about

55 meters above the ground. At what

angle is the tower leaning? about 10.3°

2. SUBMARINESA submarine that is

250 meters below the surface of the ocean

begins to ascend at an angle of 22° from vertical. How far will the submarine travel before it breaks the surface of the water? about 269.6 m

3. PHYSICS Suppose you are traveling in a

car when a beam of light passes from the air to the windshield. The measure of the angle of incidence i is 55°, and the measure of the angle of refraction r is 35.25°. Use Snell"s Law, sin θ i sin θ r = n, to find the index of refraction n of the windshield to the nearest thousandth. about 1.419

4. CONSTRUCTION A 30-foot ladder

leaning against the side of a house makes a 70.1 angle with the ground. 30 ft
70.1
a. How far up the side of the house does the ladder reach? about 28.2 ft b. What is the horizontal distance between the bottom of the ladder and the house? about 10.2 ft

5.OBSERVATION A person standing

100 feet from the bottom of a cliff notices

a tower on top of the cliff. The angle of elevation to the top of the cliff is 30°, and the angle of elevation to the top of the tower is 58°. How tall is the tower? about 102.3 ft

58°

100 ft

6.GEOMETRYThe apothem of a regular

polygon is the measure of the line segment from the center of the polygon to the midpoint of one of its sides. A circle is circumscribed about a regular hexagon with an apothem of 4.8 centimeters.

4.8 cm

a. Find the radius of the circumscribed circle. about 5.5 cm b.What is the length of a side of the hexagon? about 5.5 cm c.What is the perimeter of the hexagon? about 33 cm

7.SKATEBOARD Suppose you want to

construct a ramp for skateboarding with a

19° incline and a height of 4 feet.

a. Draw a diagram to represent the situation. 4 ft

19°

NAME DATE PERIOD

Chapter 4 12 Glencoe Precalculus

Write each decimal degree measure in DMS form and each DMS measure in decimal degree form to the nearest thousandth.

1. 28.955° 2. -57.3278

° 57" 18" -57° 19" 40.08"

3. 32° 28" 10" 4. -73° 14" 35"

32.469

-73.243° Write each degree measure in radians as a multiple of and each radian measure in degrees.

5. 25°

5 36

6. 130°

13 18 7. 3 4

135° 8.

5 3

300°

Identify all angles that are coterminal with the given angle. Then find and draw one positive and one negative angle coterminal with the given angle.

9. 43°

43
+ 360n° 10. - 7 4 7 4 + 2nπ y x

43°

403
Sample answers: 403°, -317° Sample answers: 4

15π

4 Find the length of the intercepted arc with the given central angle meas ure in a circle of the given radius. Round to the nearest tenth.quotesdbs_dbs4.pdfusesText_7

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[PDF] Trigonometry worksheets and PowerPoints - DoingMaths

What is a trigonometry worksheet?

What is Chapter 8 Introduction to trigonometry?

What is trigonometry Unit 4?

NAME DATE PERIOD

Lesson 4-1

Chapter 4 7 Glencoe Precalculus

θ 2. 7

Find the value of

56°x

19.226

5. On a college campus, the library is 80 yards due east of the dormitory a

143 yd 6. If cot A = 8, find the exact values of the remaining trigonometric functions for

Find the measure of angle

22°

11. SWIMMING The swimming pool at Perris Hill Plunge is 50 feet long and 25 feet wide

Practice

Right Triangle Trigonometry

35.3sin θ =

3 ⎷ ??

8 ⎷ ??

55 ?

°55°

NAME DATE PERIOD

Chapter 4 8 Glencoe Precalculus

Word Problem Practice

Right Triangle Trigonometry

1. MONUMENTSThe Leaning Tower of

Pisa in Italy is about 55.9 meters tall

55 meters above the ground. At what

2. SUBMARINESA submarine that is

250 meters below the surface of the ocean

3. PHYSICS Suppose you are traveling in a

4. CONSTRUCTION A 30-foot ladder

5.OBSERVATION A person standing

100 feet from the bottom of a cliff notices

58°

100 ft

6.GEOMETRYThe apothem of a regular

4.8 cm

7.SKATEBOARD Suppose you want to

19° incline and a height of 4 feet.

19°

NAME DATE PERIOD

Chapter 4 12 Glencoe Precalculus

1. 28.955° 2. -57.3278

° 57" 18" -57° 19" 40.08"

3. 32° 28" 10" 4. -73° 14" 35"

32.469

5. 25°

6. 130°

135° 8.

300°

9. 43°

43°

15π