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Solve each of the equations for 0≤x<2. sin.x = 37. sin. TRIGONOMETRIC EQUATIONS 39. 4 sin²x = 3 **Recall sin ₂²x-(sin x)² 38. 2cosx=V3 40. 2 cos²x-1-cosx=0 *Factor

Solve each of the equations for 0≤x<2. sin.x = 37. sin. TRIGONOMETRIC EQUATIONS 39. 4 sin²x = 3 **Recall sin ₂²x-(sin x)² 38. 2cosx=V3 40. 2 cos²x-1-cosx=0 *Factor

Calculus: Early Transcendentals
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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Solve each of the equations for 0<x<2. 37. sinx=m 1 2 39. 4 sin² x 3 TRIGONOMETRIC EQUATIONS **Recall sin² x = (sin x)² **Recall if x² = 25 then x=+5 h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) Vertical shift c units up Vertical shift c units down Reflection over the x-axis TRANSFORMATION OF FUNCTIONS 38. 2 cos x = √3 40. 2 cos²x-1-cosx=0 *Factor b) f(x-3) h(x) = f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)2 +1. How the does the graph of g(x) differ from f(x)? 42. Write an equation for the function that has the shape of f(x) = x³ but moved six units to the left and reflected over the x-axis. 11 Horizontal shift c units right Horizontal shift c units left 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 c) 2 f(x) d) f(x-2)+1 e) -f(x)
Transcribed Image Text:Solve each of the equations for 0<x<2. 37. sinx=m 1 2 39. 4 sin² x 3 TRIGONOMETRIC EQUATIONS **Recall sin² x = (sin x)² **Recall if x² = 25 then x=+5 h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) Vertical shift c units up Vertical shift c units down Reflection over the x-axis TRANSFORMATION OF FUNCTIONS 38. 2 cos x = √3 40. 2 cos²x-1-cosx=0 *Factor b) f(x-3) h(x) = f(x-c) h(x) = f(x+c) 41. Given f(x)=x² and g(x)=(x-3)2 +1. How the does the graph of g(x) differ from f(x)? 42. Write an equation for the function that has the shape of f(x) = x³ but moved six units to the left and reflected over the x-axis. 11 Horizontal shift c units right Horizontal shift c units left 43. If the ordered pair (2, 4) is on the graph of f(x), find one ordered pair that will be on the following functions: a) f(x)-3 c) 2 f(x) d) f(x-2)+1 e) -f(x)
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