3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x). Show all steps that lead you to this fact.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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3. Given f(x) = cot(x) sin(x) and g(x) =
cos³ (-x) (sec² (x)-1)
sin² (x)
a. Prove that f(x) = g(x). Show all steps that lead you to this fact.
√3
==
0≤x≤ 2n. Your
b. Simplify f(x) and then find all x such that f(x) =
solution(s) should be in radians.
2
c. Suppose that the graph f(x) is transformed so that the resulting graph, h(x),
stretched vertically by a factor of 4 and compressed horizontally by a factor of 2.
Write the function formula for h(x).
Transcribed Image Text:3. Given f(x) = cot(x) sin(x) and g(x) = cos³ (-x) (sec² (x)-1) sin² (x) a. Prove that f(x) = g(x). Show all steps that lead you to this fact. √3 == 0≤x≤ 2n. Your b. Simplify f(x) and then find all x such that f(x) = solution(s) should be in radians. 2 c. Suppose that the graph f(x) is transformed so that the resulting graph, h(x), stretched vertically by a factor of 4 and compressed horizontally by a factor of 2. Write the function formula for h(x).
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