Suppose θ is an acute angle such that cscθ = 5 times the square root of 2 . [a]  Draw a corresponding right angle triangle, label the angle θ and label the lengths of all sides. [b]  Find the value of cosθ . [c]  If λ is an angle in quadrant 2, and θ is the reference angle of λ , find the value of cos λ , without using ASTC.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
  1. Suppose θ is an acute angle such that cscθ = 5 times the square root of 2 .

    1. [a]  Draw a corresponding right angle triangle, label the angle θ and label the lengths of all sides.

    2. [b]  Find the value of cosθ .

    3. [c]  If λ is an angle in quadrant 2, and θ is the reference angle of λ , find the value of cos λ , without using ASTC.

Expert Solution
Step 1

The acute angle between the terminal side and the x axis is called reference angle . Reference angle is always positive.

If we are finding the trigonometric value of any angle using its reference angle triangle then take sign as such for avoiding the usage of ASTC.

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning