Tuesday night This morning Wednesday This morning WELCOME

Tuesday night This morning Wednesday This morning WELCOME TO GEOMETRY B

TODAY’S AGENDA This Week at a Glance Warm-up Correct 7. 3 C Worksheet 7. 4 A Notes Assignment: 7. 4 A Worksheet

THIS WEEK AT A GLANCE Monday: 7. 4 A Trigonometric Ratios Tuesday: 7. 4 B Solving Problems w/ Trigonometric Values Wednesday: 7. 3 to 7. 4 Review Thursday: Ch. 7 A Test, Pt. 2 Friday: 7. 6 A Angles of Elevation & Depression

WARM-UP 1. 2. 3. 4.

I can find trigonometric ratios using right triangles. LESSON 7. 4 A

VOCABULARY Term/Concept Definition A ratio is a comparison of two amounts. Ratio Example: There are 12 boys and 11 girls in this class. What is the ratio of boys to girls? Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. A trigonometric ratio is a ratio of the lengths of the sides of Trigonometric Ratio a right triangle. The 3 most common trigonometric ratios are sine, cosine, and tangent.

VOCABULARY opposite e hypotenuse en us sine: B tangent: A opposite adjacent SOH sine = opposite hypotenuse opposite hy po t adjacent cosine: hypotenuse CAH adjacent C TOA cosine = adjacent tangent =opposite hypotenuse adjacent

EXAMPLE #1 Find the following trig ratios. Write your answer as a reduced fraction. sin. D 8 F 17 cos. D tan. D 15 17 8 15 H D A 17 15 8 E O

EXAMPLE #2 Find the following trig ratios. Write your answer as a reduced fraction. sin. F cos. F tan. F 16 20 12 20 16 12 = = = 4 F 5 3 5 4 3 H D O 20 12 16 E A

YOUR TURN Find the following trig ratios. Write your answer as a reduced fraction. H sin. J 26 24 cos. J G 10 J tan. J SOH sine = opposite hypotenuse CAH TOA cosine = adjacent tangent =opposite hypotenuse adjacent

EXAMPLE #3 Put your calculator in DEGREE mode! Use a calculator to find the following values to the nearest hundredth (2 decimal places). a. sin 47 0. 73 b. cos 32 0. 85 c. tan 84 9. 51

7. 4 A Worksheet Show all work to earn credit! TODAY’S ASSIGNMENT