M-G-7-2 Graphic Organizer Key - Derry Area School District



T-1: Right Triangles and Trigonometric Ratios357187514605000Review:Pythagorean Theorem: ___________________________Review Practice: Find the missing side length of each right triangle. 45720013462000 7048503810000 20002595885 θ00 θThe Parts of a Right Triangle3038475168275 θ00 θ Hypotenuse:Opposite: Adjacent: θ : Theta, pronounced ‘thay-tuh’ Three Trigonometric RatiosSine of θ: the ratio of the _________________Cosine of θ: the ratio of the Tangent of θ: the ratio of the “SOH CAH TOA” Example 1: Write trig equation relating each angle with the given side lengths. b.)c.)301260 451233301260 451233Using Your Calculator*Always make sure your calculator is in “Degree” mode.Type sin 30 into your calculator. What is the answer?Type cos 60 into your calculator. What is the answer?Type tan 45 into your calculator. What is the answer?Solving for a Missing SideExample 2: Solve for x. *To help you figure out which trigonometric ratio to use, label the sides opp, adj, or hyp. b.)c.)20x855 387x4x20x855 387x4xSolving for a Missing AngleExample 3: Solve for x.*In order to solve for the angle, we have to use the Inverse function on our calculator. You need to hit the “2nd” button before the trig ratio you want to use. b.)c.)x37x x2586x37x x2586Three Other Trig RatiosCosecant of θ: the ratio of the ______Secant of θ: the ratio of the Cotangent of θ: the ratio of the Example 4: Write trig equation relating each angle with the given side lengths. b.)c.) 301260 451233301260 451233Example 5: Find the rest of the trig ratios at angle A. a) In ?ABC, angle C is a right angle and sinA=513 . b) In ?ABC, angle C is a right angle and tanA=34 .c) In ?ABC, angle C is a right angle and cosA=1517 .d) In ?ABC, angle C is a right angle and sinA=725 .Homework: p. 826 => 6 – 19a ................
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