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In Example 3, we found the values of all six trigonometric functions of 60◦ and 30◦. 1. Does tan 30° + tan 30° = tan 60°

In Example 3, we found the values of all six trigonometric functions of 60◦ and 30◦. 1. Does tan 30° + tan 30° = tan 60°

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 91E
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In Example 3, we found the values of all six trigonometric functions of 60◦ and 30◦. 1. Does tan 30° + tan 30° = tan 60°
EXAMPLE 3 Find the values of all six trigonometric functions of 60°. 2/30 v3 60 1C1 2 a? + b? = c2 a? = 22 - 12 = 3 - a = v3 Thus, using the angle A we get: opposite v3 adjacent v3 adjacent hypotenuse opposite sin 60 hypotenuse cos 60° tan 60 hypotenuse opposite hypotenuse adjacent sec 60 =2 cot 60 adjacent csc 60 opposite v3 Notice that, as a bonus, we get the values of all six trigonometric functions of 30°, by using angle B= 30° in the same triangle AABC above: opposite 1 adjacent V3 opposite adjacent V3 sin 30" cos 30° tan 30° = hypotenuse hypotenuse adjacent v3 hypotenuse opposite hypotenuse adjacent 2 cse 30° sec 30° cot 30° = opposite 1/2
Transcribed Image Text:EXAMPLE 3 Find the values of all six trigonometric functions of 60°. 2/30 v3 60 1C1 2 a? + b? = c2 a? = 22 - 12 = 3 - a = v3 Thus, using the angle A we get: opposite v3 adjacent v3 adjacent hypotenuse opposite sin 60 hypotenuse cos 60° tan 60 hypotenuse opposite hypotenuse adjacent sec 60 =2 cot 60 adjacent csc 60 opposite v3 Notice that, as a bonus, we get the values of all six trigonometric functions of 30°, by using angle B= 30° in the same triangle AABC above: opposite 1 adjacent V3 opposite adjacent V3 sin 30" cos 30° tan 30° = hypotenuse hypotenuse adjacent v3 hypotenuse opposite hypotenuse adjacent 2 cse 30° sec 30° cot 30° = opposite 1/2
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