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.
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...
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Question
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Suppose θ is an acute angle such that cscθ = 5 times the square root of 2 .
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[a] Draw a corresponding right angle triangle, label the angle θ and label the lengths of all sides.
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[b] Find the value of cosθ .
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[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.
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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.
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