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Chapter 5: Trigonometric Functions Lesson 1: Trigonometric Ratios in Right Triangles Mrs. Parziale.

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Presentation on theme: "Chapter 5: Trigonometric Functions Lesson 1: Trigonometric Ratios in Right Triangles Mrs. Parziale."— Presentation transcript:

1 Chapter 5: Trigonometric Functions Lesson 1: Trigonometric Ratios in Right Triangles Mrs. Parziale

2 Terms to Know: Right Triangle:  opp hyp adj

3 Terms to Know: Angle of depression: an angle measured downward from a horizontal line. Angle of elevation: an angle measured upward from a horizontal line. d e

4 Example 1: Given the right triangle to the right, a) Give exact values for sin A, cos A, tan A. A 8 15 B C

5 Example 1, cont.: Given the right triangle to the right, b)Find measure of angle A ---- (use sin -1 ). (Set CALC. IN DEGREE MODE!!) A 8 15 B C

6 Degrees, Minutes, Seconds: Example 2: 60 seconds in one minute. 60 minutes in one degree. 3600 seconds in one degree. Convert to a measure to the nearest thousandth:

7 Example 3: A beam supporting a roof is slanted at an angle from the horizontal. If the horizontal distance under the beam is 4.6 meters, how long is the beam?

8 Closure From Classwork/Homework: If a=56 and b=16, find c, m  A, m  B


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