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Trigonometry Opening routine Unit 2: Similarity, Proof and Trigonometry Lesson 13 Relationships between Trigonometric Functions Objective: Explain and use the relationship between the sine and cosine of complementary angles. Essential Question: How trigonometric functions of the angles in a right triangle are related? Lesson 13 Relationships between Trigonometric Functions Vocabulary Hypotenuse: Is the longest side of the right triangle and is the side opposite the right angle. Leg of a right triangle: Either of the sides in a right triangle opposite an acute angle. The legs are the two shorter sides of the triangle. Adjacent leg: Is the leg that is part of the angle. Opposite leg: Is the leg that is not part of the angle. Lesson 13 Relationships between Trigonometric Functions Vocabulary Sine: In a right triangle, is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse). Cosine: In a right triangle, is the ratio of the length of the adjacent side to the angle to the length of the hypotenuse. Tangent: In a right triangle, is the length of the opposite side divided by the length of the adjacent side. Lesson 13 Relationships between Trigonometric Functions Lesson 13 Relationships between Trigonometric Functions Lesson 13 Relationships between Trigonometric Functions Lesson 13 Relationships between Trigonometric Functions Lesson 13 Relationships between Trigonometric Functions Guided Practice – WE DO Lesson 13 Relationships between Trigonometric Functions Independent Practice – YOU DO Group 1 Questions 1 and 7 page 106 Group 2 Questions 2 and 8 page 106 Group 3 Questions 3 and 9 page 106 Group 4 Questions 4 and 10 page 106 Group 5 Question 5 page 106 Group 6 Question 6 page 106 Lesson 13 Relationships between Trigonometric Functions Independent Practice – YOU DO Lesson 13 Relationships between Trigonometric Functions Independent Practice – YOU DO Lesson 13 Relationships between Trigonometric Functions Independent Practice – YOU DO Lesson 13 Relationships between Trigonometric Functions Independent Practice – YOU DO Lesson 13 Relationships between Trigonometric Functions Re-teach MAFS.912.G-CO.3.9: Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Angles and Parallel Lines Packet Lesson 13 Relationships between Trigonometric Functions Closure Essential Question: How trigonometric functions of the angles in a right triangle are related? Lesson 13 Relationships between Trigonometric Functions Homework Similar Triangles Worksheet Due Monday November 28, 2016