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sin(B) = [sec(B) – tan(8)]² %3D 1+ sin(B) Mathematical Reasoning Steps of the Proof (How is each step justified from the previous [sec(8) – tan(8)] 2 1 tan(B) Substitution of Reciprocal Identity - cos(B) 2 sin(B) cos(B) 1 Substitution of Quotient Identity cos(B) sin(B) cos(B) - Select an answer COS [1 – sin(8)] cos (B) Select an answer Distribute multiplication Substitution of Quotient Identity Substitution of Pythagorean Identity Addition of fractions [1 – sin(8)]? 1 - sin (B) [1 – sin(B)] [1 – sin(8)][1 + sin(B)] 1 - sin(B) 1+ sin(B) Multiply fraction by a 'crazy one Substitution of Cofunction Identity | Factoring Simplify the fraction

sin(B) = [sec(B) – tan(8)]² %3D 1+ sin(B) Mathematical Reasoning Steps of the Proof (How is each step justified from the previous [sec(8) – tan(8)] 2 1 tan(B) Substitution of Reciprocal Identity - cos(B) 2 sin(B) cos(B) 1 Substitution of Quotient Identity cos(B) sin(B) cos(B) - Select an answer COS [1 – sin(8)] cos (B) Select an answer Distribute multiplication Substitution of Quotient Identity Substitution of Pythagorean Identity Addition of fractions [1 – sin(8)]? 1 - sin (B) [1 – sin(B)] [1 – sin(8)][1 + sin(B)] 1 - sin(B) 1+ sin(B) Multiply fraction by a 'crazy one Substitution of Cofunction Identity | Factoring Simplify the fraction

Algebra & Trigonometry with Analytic Geometry
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(8) 1+ sin(B) = [sec(B) – tan(B)]² %3D Mathematical Reasoning Steps of the Proof (How is each step justified from the previous step?) [sec(B) - tan(8)]² 1 tan(B) Substitution of Reciprocal Identity cos(B) COS 2 sin(B) cos(B) 1 Substitution of Quotient Identity cos(B) 1- sin(B) Select an answer cos(B) Select an answer Distribute multiplication Substitution of Quotient Identity Substitution of Pythagorean Identity Addition of fractions [1 – sin(8)]? cos?(B) [1 – sin(8)]? 1 – sin (B) [1 – sin(B)]? Multiply fraction by a 'crazy one Substitution of Cofunction Identity | Factoring [1 - sin(8)][1+ sin(B)] 1– sin(B) 1+ sin(8) Simplify the fraction
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(8) 1+ sin(B) = [sec(B) – tan(B)]² %3D Mathematical Reasoning Steps of the Proof (How is each step justified from the previous step?) [sec(B) - tan(8)]² 1 tan(B) Substitution of Reciprocal Identity cos(B) COS 2 sin(B) cos(B) 1 Substitution of Quotient Identity cos(B) 1- sin(B) Select an answer cos(B) Select an answer Distribute multiplication Substitution of Quotient Identity Substitution of Pythagorean Identity Addition of fractions [1 – sin(8)]? cos?(B) [1 – sin(8)]? 1 – sin (B) [1 – sin(B)]? Multiply fraction by a 'crazy one Substitution of Cofunction Identity | Factoring [1 - sin(8)][1+ sin(B)] 1– sin(B) 1+ sin(8) Simplify the fraction
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