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EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 22RE
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Example 4
Check Point 3 If sin < 0 and cos < 0, name the quadrant in which angle 0 lies. EXAMPLE 4 Evaluating Trigonometric Functions Given tan 0 = -and cos 0 > 0, find cos 0 and csc 0. A circle has a radius of 10 inches. Find the length of the arc intercepted by a central angle of 120°. EXAMPLE 7 Determining the Angle of Elevation A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of elevation of the sun to the nearest degree. SOLUTION The situation is illustrated in Figure 4.40. We are asked to find 0. 0 0 80 48 0 21 m 25 m Angle of elevation We begin with the tangent function. tan 0 = side opposite 0 side adjacent to 21 25
Transcribed Image Text:Check Point 3 If sin < 0 and cos < 0, name the quadrant in which angle 0 lies. EXAMPLE 4 Evaluating Trigonometric Functions Given tan 0 = -and cos 0 > 0, find cos 0 and csc 0. A circle has a radius of 10 inches. Find the length of the arc intercepted by a central angle of 120°. EXAMPLE 7 Determining the Angle of Elevation A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of elevation of the sun to the nearest degree. SOLUTION The situation is illustrated in Figure 4.40. We are asked to find 0. 0 0 80 48 0 21 m 25 m Angle of elevation We begin with the tangent function. tan 0 = side opposite 0 side adjacent to 21 25
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