Concept explainers
To find : the value of cos B
Answer to Problem 8CUR
The value of cos B is
Explanation of Solution
Given Information: A right angled
Formula used:
1) In a right triangle the sine of the any angle is the ratio of the measure of side opposite to the given angle to the hypotenuse of triangle. The cosine of the any angle is the ratio of the adjacent side of the given angle to the hypotenuse of triangle.
It can be expressed as,
2) The relationship between the legs of right triangle (shown in figure below) a , b and its hypotenuse c is obtained by using Pythagoras theorem.
It can be expressed as,
Calculation: Consider the right triangle given below.
Here,
Now, cosine of the angle is defined as,
So, the length of the adjacent side x can be calculated using the Pythagoras theorem as,
Therefore, cosine of B is given by,
Chapter 8 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Fundamentals of Statistics (5th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Probability And Statistical Inference (10th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning