In Exercises 19 to 21, let B be an acute angle of a right 13 Find 12 triangle for which sec B =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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The image presents the text:
 
"20. cot β"

This indicates that problem number 20 involves the trigonometric function "cotangent" of an angle denoted by the Greek letter "β" (beta).

### Explanation:
In trigonometry, the cotangent (cot) of an angle in a right-angled triangle is defined as the ratio of the adjacent side to the opposite side. It is the reciprocal of the tangent function. For an angle \( β \):

\[ \cot β = \frac{1}{\tan β} = \frac{\text{adjacent}}{\text{opposite}} \]

Understanding cotangent is crucial in various applications of trigonometry, including solving triangles, analyzing waves, and in different fields of science and engineering.
Transcribed Image Text:The image presents the text: "20. cot β" This indicates that problem number 20 involves the trigonometric function "cotangent" of an angle denoted by the Greek letter "β" (beta). ### Explanation: In trigonometry, the cotangent (cot) of an angle in a right-angled triangle is defined as the ratio of the adjacent side to the opposite side. It is the reciprocal of the tangent function. For an angle \( β \): \[ \cot β = \frac{1}{\tan β} = \frac{\text{adjacent}}{\text{opposite}} \] Understanding cotangent is crucial in various applications of trigonometry, including solving triangles, analyzing waves, and in different fields of science and engineering.
**Trigonometric Exercises**

In Exercises 19 to 21, let \( \beta \) be an acute angle of a right triangle for which \( \sec \beta = \frac{13}{12} \). Find:

(Note to website description writers: If there is a list of tasks or specific problems to be addressed for exercises 19 to 21, they should follow here for better clarity for the students.)
Transcribed Image Text:**Trigonometric Exercises** In Exercises 19 to 21, let \( \beta \) be an acute angle of a right triangle for which \( \sec \beta = \frac{13}{12} \). Find: (Note to website description writers: If there is a list of tasks or specific problems to be addressed for exercises 19 to 21, they should follow here for better clarity for the students.)
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