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Chapter 13: Trigonometry Algebra 2 Name Block Date Trigonometry is a Greek term meaning Triangles consist of two components Note: rather than using x as our unknown when dealing with angles is often used. Ratios/Relations in triangles dependent on the The ratios formed by the sides have names/labels: sin = Remember cos = tan = Example: Write 3 basic trigonometric ratios for the following triangle. 5 3 4 sin = cos = tan = Looking Back at the 30, 60, 90 sin cos tan sin cos tan 30o 60o Looking Back at the 45, 45, 90 45 Solving for missing sides. Steps: 1. Label your sides bases on the angle given (opp, adj, hyp) 2. Pick one side to solve for first 3. Pick the correct trig function using SOHCAHTOA a. Using given side and the side you are trying to find 4. Set up your equation 5. Solve (get the variable by itself) Find the missing sides of these right triangles using trigonometry. 1. 2. y 10 60 y x 3. 6 2 x 19 x 45 13 y