Tuesday night This morning Wednesday morning This morning This Week at a Glance Warm-up Correct 7.3C Worksheet 7.4A Notes Assignment: 7.4A Worksheet Monday: 7.4A Trigonometric Ratios Tuesday: 7.4B Solving Problems w/ Trigonometric Values Wednesday: 7.3 to 7.4 Review Thursday: Ch. 7A Test, Pt. 2 Friday: 7.6A Angles of Elevation & Depression 1. 2. 3. 4. I can find trigonometric ratios using right triangles. 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 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. sine: B opposite hypotenuse opposite adjacent cosine: hypotenuse tangent: A opposite adjacent SOH sine= opposite hypotenuse CAH adjacent C TOA cosine= adjacent tangent=opposite hypotenuse adjacent Find the following trig ratios. Write your answer as a reduced fraction. sinD O H cosD A H tanD O A 8 F 17 15 17 8 15 H D A 17 15 8 E O Find the following trig ratios. Write your answer as a reduced fraction. O sinF H 16 20 = 4 F 5 H 20 12 cosF A 12 20 O A 16 H tanF 3 = 5 4 = 3 12 D O 16 E A Find the following trig ratios. Write your answer as a reduced fraction. sinJ cosJ tanJ 12 13 H 24 5 13 12 5 26 G SOH sine= opposite hypotenuse 10 CAH J TOA cosine= adjacent tangent=opposite hypotenuse adjacent 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 7.4A Worksheet Show all work to earn credit!