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6-1 Right Triangle Trigonometry Objectives: 1. 2. 3. 4. Define the 6 trig ratios of an acute angle in terms of a right triangle. Evaluate trig ratios. Use inverse trig ratios to find missing angles. Practice using a calculator to find angles and ratios. The Six Trig Ratios They relate an acute angle in a right triangle to a ratio of sides SOH-CAH-TOA 30° 3 2 Th 60° 1 Sin 30° Csc 30° Cos 30° Sec 30° Tan 30° Cot 30° Sin 60° Csc 60° Cos 60° Sec 60° Tan 60° Cot 60° Example: Use the trig ratios to find . Do not use a calculator. Draw a sketch. 1. sin 1 2 2. cos 3 2 3. tan 3 Example: Use a calculator. Round your answer to 4 decimal digits. When you use right triangle trigonometry, put your calculator in degree mode, unless there is a π with the angle. 1. sin 65° = 2. cos 19° = 3. tan 23° = 4. csc 77° = 5. sec 58° = 6. cot 11° = Inverse Trig Ratios – used to find the missing angle when you know the ratio of sides of a right triangle Example: Find . Use a Calculator 1. sin = ¼ 4. csc = -4 2. tan = 2 3. sec = 8 5. cot = 1/3 6. cos = -7/8