Concept explainers
To calculate: The value of trigonometric ratios if
Answer to Problem 19E
The value of trigonometric ratios are,
Explanation of Solution
Given information:
The value of trigonometric function
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider the provided value of trigonometric function
Since, the sine function is expressed as
The figure obtained is provided below,
Observe that opposite side is of length 3 units and hypotenuse has length 5 units.
Now, let the length of adjacent side be x , as it is a right angle triangle so,
Therefore, length of adjacent side is
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,
The value of cosine function is,
The value of tangent function is,
The value of cosecant function is,
The value of secant function is,
The value of cotangent function is,
Hence, the value 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