Find the missing sides of the special right triangles. 1) 2) 3) Solve for x. D.N.A. Complete your DNA on a fresh sheet of paper. Label it as shown on the board.

Chapter 8-4 Trigonometry

Lesson 4 MI/Vocab trigonometry trigonometric ratio sine cosine tangent Find trigonometric ratios using right triangles. Solve problems using trigonometric ratios. Standards 18.0 Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tan(x) = sin(x)/cos(x), (sin(x))2 + (cos(x))2 = 1. (Key) Standards 19.0 Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. (Key)

Chief SohCahToa The Amazing Legend of…

Chief SohCahToa Once upon a time there was a wise old Native American Chief named Chief SohCahToa. He was named that due to an chance encounter with his coffee table in the middle of the night. He woke up hungry, got up and headed to the kitchen to get a snack. He did not turn on the light and in the darkness, stubbed his big toe on his coffee table….

A B C Opposite Side Hypotenuse Adjacent Side S o:h C a:h T o:a

Lesson 4 Ex1 Find Sine, Cosine, and Tangent Ratios Find sin L, cos L, tan L, sin N, cos N, and tan N. Express each ratio as a fraction and as a decimal. Opposite Hypotenuse Adjacent

Lesson 4 Ex1 Find Sine, Cosine, and Tangent Ratios Find sin L, cos L, tan L, sin N, cos N, and tan N. Express each ratio as a fraction and as a decimal. Opposite Hypotenuse Adjacent

Lesson 4 Ex1 Find Sine, Cosine, and Tangent Ratios Answer:

A.A B.B C.C D.D Lesson 4 CYP1 A. Find sin A. A. B. C. D.

A.A B.B C.C D.D Lesson 4 CYP1 B. Find cos A. A. B. C. D.

A.A B.B C.C D.D Lesson 4 CYP1 C. Find tan A. A. B. C. D.

A.A B.B C.C D.D Lesson 4 CYP1 D. Find sin B. A. B. C. D.

A.A B.B C.C D.D Lesson 4 CYP1 E. Find cos B. A. B. C. D.

A.A B.B C.C D.D Lesson 4 CYP1 F. Find tan B. A. B. C. D.

Angle Measure SinCosTan Angle Measure SinCosTan Using a Trig. Table Find the Sine Cosine and Tangent of

Lesson 4 CYP2 1.A 2.B 3.C 4.D A B C D A. Use your trig. table to find sin 48° to the nearest ten thousandth.

Lesson 4 CYP2 1.A 2.B 3.C 4.D A B C D B. Use your trig. table to find cos 85° to the nearest ten thousandth.

Lesson 4 Ex3 Use Trigonometric Ratios to Find a Length EXERCISING A fitness trainer sets the incline on a treadmill to 7°. The walking surface is 5 feet long. Approximately how many inches did the trainer raise the end of the treadmill from the floor? Let y be the height of the treadmill from the floor in inches. The length of the treadmill is 5 feet, or 60 inches. Answer: The treadmill is about 7.3 inches high. y =7.314 in =60 in

1.A 2.B 3.C 4.D Lesson 4 CYP3 A.1 in. B.11 in. C.16 in. D.15 in. CONSTRUCTION The bottom of a handicap ramp is 15 feet from the entrance of a building. If the angle of the ramp is about 4.8°, how high does the ramp rise off the ground to the nearest inch?

Lesson 4 Ex4 COORDINATE GEOMETRY Find m  X in right ΔXYZ for X(–2, 8), Y(–6, 4), and Z(–3, 1). Use Trigonometric Ratios to Find an Angle Measure

Lesson 4 Ex4 COORDINATE GEOMETRY Find m  X in right ΔXYZ for X(–2, 8), Y(–6, 4), and Z(–3, 1). Use Trigonometric Ratios to Find an Angle Measure from trig. table

A.A B.B C.C D.D Lesson 4 CYP4 A.66.0° B.56.3° C.33.7° D.24.0° COORDINATE GEOMETRY Find m  A in right ΔABC to the nearest degree.

Homework Chapter 8-4 Pg 460: # 1, 2, 10, 11, 14 – 17 all, 26, 29 – 49 odd