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Transcript 
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
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