Concept explainers
To calculate: The length of sides a, b, c and d in terms of trigonometric ratios of the angle
Answer to Problem 46E
The length of sides a, b, c and d in terms of trigonometric ratios are
Explanation of Solution
Given information:
The figure is provided below,
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider the provided figure,
Observe that circle has radius as 1 unit.
Take the inner triangle. With respect to angle
Recall that the trigonometric ratios for a right angle triangle are defined as,
Apply it, to estimate the value of trigonometric ratios,
The value of sine function is,
Therefore, value of a is
The value of cosine function is,
Therefore, value of d is
Next take the outer triangle. With respect to angle
The value of tangent function is,
Therefore, value of b is
The value of secant function is,
Therefore, value of c is
Hence, the length of sides a, b, c and d in terms of trigonometric ratios are
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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