Concept explainers
To Find:Exact value oftrigonometric expression
Answer to Problem 90RE
The exact value of trigonometric expression
Explanation of Solution
Given information:
To draw right angle triangle.
Formula used:
Pythagoras theorem that is
Where p is perpendicular is base,h is height.
And trigonometric formula
Also, by right angle triangle,
Where p is perpendicular and b is base.
Calculation:
Consider the statement “given trigonometric expression”
Recall that by the Pythagoras formula on right angle triangle
Therefore, given that perpendicular is
Base is
Height is
So by Pythagoras formula,
Where b is base
Now, recall the trigonometric formula of
Recall the trigonometric formula of
Therefore,
So, the exact value of trigonometric function
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