(a)
To prove:
Given information:
Formula used: height and distance.
Proof:
Taking the inverse tangent of both sides, then we get:
(b)
To graph: graph
Given information: region
Graph:
Interpretation: graph the equation by entering the right side on Y1 and use the given window:
Negative values of
A positive angle means that the beacon rotates counterclockwise with the light towards
A negative angle means that the beacon rotates clockwise with the light away from
(c)
To calculate: find
Given information:
Formula used: trigonometry
Calculation: substitute
Therefore,
Chapter 4 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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