For this proof we choose to manipulate only the RIGHT side of the identity below until it matches the LEFT. Justify each step of the proof using the pull-down menus below: 1- sin(B) 1+ sin(B) | = [sec(8) – tan(8)]² %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 2DE
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For this proof we choose to manipulate only the RIGHT side of the identity below until it matches the LEFT. Justify each step of the proof using the pull-down menus below:
For this proof we choose to manipulate only the RIGHT side of the identity
below until it matches the LEFT. Justify each step of the proof using
the pull-down menus below:
1- sin(B)
1+ sin(8)
[sec(8) – tan(8)]²
Mathematical Reasoning
Steps of the Proof
(How is each step justified from the previoL
[sec(B) – tan(8)]²
1
tan(B)
Substitution of Reciprocal Identity
cos(B)
OS
1
sin(B)
Select an answer
cos(B)
cos(B)
Select an answer
Simplify compound fractions
Substitution of Reciprocal Identity
Substitution of Quotient Identity
Substitution of Cofunction Identity
Substitution of Pythagorean Identity
Combine like terms
sin(8)
cos(B)
|
[1 – sin(8)]?
cos? (B)
[1 – sin(8)]
1 – sin (B)
Substitution of Quotient Identity
[1 – sin(8)]²
[1 – sin(B)][1+ sin(8)]
Factoring
gin(6)
Transcribed Image Text:For this proof we choose to manipulate only the RIGHT side of the identity below until it matches the LEFT. Justify each step of the proof using the pull-down menus below: 1- sin(B) 1+ sin(8) [sec(8) – tan(8)]² Mathematical Reasoning Steps of the Proof (How is each step justified from the previoL [sec(B) – tan(8)]² 1 tan(B) Substitution of Reciprocal Identity cos(B) OS 1 sin(B) Select an answer cos(B) cos(B) Select an answer Simplify compound fractions Substitution of Reciprocal Identity Substitution of Quotient Identity Substitution of Cofunction Identity Substitution of Pythagorean Identity Combine like terms sin(8) cos(B) | [1 – sin(8)]? cos? (B) [1 – sin(8)] 1 – sin (B) Substitution of Quotient Identity [1 – sin(8)]² [1 – sin(B)][1+ sin(8)] Factoring gin(6)
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