sin² 0 4. If possible, algebraically verify = 1– cos 0 in a different way. Show all your steps. If 1+cos 0 not possible, explain why

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 60E
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question 4

sin? e
1. Amna needs to decide if the equation
= 1- cos e is an identity. Choose 3 possible
1+cos e
values for 0, substitute them into this equation, and simplify. What do your results indicate about
the equation
sin? 0
= 1 - cos0?
1+cos e
sin? 0
2. The graphs of
in red, and 1 – cos 0, in blue, are shown below. What do these graphs
1+cos e
sin? e
and your answer to question 1 indicate about the equation
= 1- cos 0? Explain.
1+cos e
sin? 0
3. If possible, verify
= 1- cos e is true by rewriting the left-hand side of the equation to
1+cos e
match the right-hand side of the equation. Show all your steps. If not possible, explain why.
sin? e
4. If possible, algebraically verify
= 1- cos 0 in a different way. Show all your steps. If
1+cos e
not possible, explain why
5. Is the equation cos 0
sin 0 = 1 an identity? If so, verify it. If not, explain why.
Transcribed Image Text:sin? e 1. Amna needs to decide if the equation = 1- cos e is an identity. Choose 3 possible 1+cos e values for 0, substitute them into this equation, and simplify. What do your results indicate about the equation sin? 0 = 1 - cos0? 1+cos e sin? 0 2. The graphs of in red, and 1 – cos 0, in blue, are shown below. What do these graphs 1+cos e sin? e and your answer to question 1 indicate about the equation = 1- cos 0? Explain. 1+cos e sin? 0 3. If possible, verify = 1- cos e is true by rewriting the left-hand side of the equation to 1+cos e match the right-hand side of the equation. Show all your steps. If not possible, explain why. sin? e 4. If possible, algebraically verify = 1- cos 0 in a different way. Show all your steps. If 1+cos e not possible, explain why 5. Is the equation cos 0 sin 0 = 1 an identity? If so, verify it. If not, explain why.
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