Explain how to use the following figure to verify the following double-angle formulas. y = sin x V -y cos x = 1 1 (a) sin(2u) = 2 sin(u) cos(u) To verify the formula we need to substitute the values from the graph into the equation sin(2u) = 2 sin(u) cos(u). Looking at the graph, the value of sin(2u) appears to be about [ respectively. and sin(24) = 2 sin(u) cos(u) 2 2([ * (b) cos(2u) = cos(u) - sin²(u) ) (0.7) Ⓡ Looking at the graph, the value of cos(2u) is cos(2u) cos² (u)- sin²(u) 0 (0.7)²-(0 0 To verify the formula, substitute the values from the graph into the equation cos(2u) = cos(u) - sin²(u). while the values of sin(u) and cos(u) appear to be [
Explain how to use the following figure to verify the following double-angle formulas. y = sin x V -y cos x = 1 1 (a) sin(2u) = 2 sin(u) cos(u) To verify the formula we need to substitute the values from the graph into the equation sin(2u) = 2 sin(u) cos(u). Looking at the graph, the value of sin(2u) appears to be about [ respectively. and sin(24) = 2 sin(u) cos(u) 2 2([ * (b) cos(2u) = cos(u) - sin²(u) ) (0.7) Ⓡ Looking at the graph, the value of cos(2u) is cos(2u) cos² (u)- sin²(u) 0 (0.7)²-(0 0 To verify the formula, substitute the values from the graph into the equation cos(2u) = cos(u) - sin²(u). while the values of sin(u) and cos(u) appear to be [
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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Transcribed Image Text:Explain how to use the following figure to verify the following double-angle formulas.
1
y
(a) sin(2u) = 2 sin(u) cos(u)
To verify the formula we need to substitute the values from the graph into the equation sin(2u) = 2 sin(u) cos(u). Looking at the graph, the value of sin(2u) appears to be about
respectively.
and
7
sin(2u) = 2 sin(u) cos(u)
1 20 2
y = sin x
AV
u 2u
y = cos x
0
(b) cos(2u) = cos2²(u) - sin²(u)
0
2
Looking at the graph, the value of cos(2u) is
cos(2u)
cos² (u) - sin²(u)
=
= (0.7) ²-
(0.7)
=
-X
2
To verify the formula, substitute the values from the graph into the equation cos(2u) = cos²(u) - sin²(u).
while the values of sin(u) and cos(u) appear to be
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