Tofind:the unknown side and angle of the right- angle triangle shown below.
Answer to Problem 6E
The required value are
Explanation of Solution
Given:
Concept used:
Sum of the angle of the triangle is
Trigonometric formula:
Calculation:
Assume that
Since the sum of the three angles of triangle is
Put
Since the sine of the angle is given by the ratio od the length of the perpendicular to the hypotenuse, therefore
Put the values
Again, since the cosine of the angle is given by the ratio of the length of the base to the hypotenuse, therefore
Hence, the required value are
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning