Use what you know about trigonometric identities to explore the questions below. 1. Amna needs to decide if the equationcose 1- cos 0 is an identity. Choose 3 possible values for 0, substitute them into this equation, and simplify. What do your results indicate about the equation- sin? e = 1– cos 0? Show all your work. 1+cos e

Calculus: Early Transcendentals
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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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In mathematics, an identity is an equation that is always true. When you learned how to factor
expressions and equations, you worked with several algebraic identities, including (a + b)? =
a? + 2ab + b? and (a – b)³ = (a – b)(a² + ab + b²). These identities helped you to rewrite
and simplify more complex expressions or equations. This, in turn, allowed you to more easily
solve problems.
In this module you were introduced to trigonometric identities, including reciprocal identities,
quotient identities, Pythagorean identities, and others. Like algebraic identities, you can use
trigonometric identities to help you rewrite and simplify more complex expressions or equations
in order to more easily solve problems. You can also use these identities to verify whether
trigonometric equations represent identities. There are several ways to show an equation may be
an identity, but to prove it is an identity, you must verify it.
Use what you know about trigonometric identities to explore the questions below.
sin? e
1+cos e
values for 0, substitute them into this equation, and simplify. What do your results indicate about
1. Amna needs to decide if the equation-
1- cos 0 is an identity. Choose 3 possible
the equation sin = 1- cos 8? Show all your work.
1+cose
Transcribed Image Text:In mathematics, an identity is an equation that is always true. When you learned how to factor expressions and equations, you worked with several algebraic identities, including (a + b)? = a? + 2ab + b? and (a – b)³ = (a – b)(a² + ab + b²). These identities helped you to rewrite and simplify more complex expressions or equations. This, in turn, allowed you to more easily solve problems. In this module you were introduced to trigonometric identities, including reciprocal identities, quotient identities, Pythagorean identities, and others. Like algebraic identities, you can use trigonometric identities to help you rewrite and simplify more complex expressions or equations in order to more easily solve problems. You can also use these identities to verify whether trigonometric equations represent identities. There are several ways to show an equation may be an identity, but to prove it is an identity, you must verify it. Use what you know about trigonometric identities to explore the questions below. sin? e 1+cos e values for 0, substitute them into this equation, and simplify. What do your results indicate about 1. Amna needs to decide if the equation- 1- cos 0 is an identity. Choose 3 possible the equation sin = 1- cos 8? Show all your work. 1+cose
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