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

Terms to Know: Right Triangle:  opp hyp adj

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

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

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

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

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?

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