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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: 1- sin(8) 1+ sin(B) = [sec(8) – tan(B)]² %3|

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(8) – tan(B)]² %3|

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 21E
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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(8) = [sec(8) – tan(B)]? Mathematical Reasoning (How is each step justified from the previous step?) Steps of the Proof [sec(B) – tan(B)]? 1 12 tan(8) Substitution of Reciprocal Identity cos(B) sin(B) cos(B)] 1 Substitution of Quotient Identity cos(8) 1– sin(8) ]* cos(B) - Select an answer [1 – sin(8)]? cos²(B) Distribute the exponent [1 – sin(8)]? 1 – sin (8) [1 – sin(8)]? [1 – sin(8)|[1 + sin(B)] 1- sin(B) 1+ sin(B) | Rewrite with commmon denominators v Select an answer - Substitution of Reciprocal Identity Distribute multiplication Substitution of Pythagorean Identity Rewrite with commmon denominators Substitution of Conjugate Identity Substitution of Quotient Identity
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(8) = [sec(8) – tan(B)]? Mathematical Reasoning (How is each step justified from the previous step?) Steps of the Proof [sec(B) – tan(B)]? 1 12 tan(8) Substitution of Reciprocal Identity cos(B) sin(B) cos(B)] 1 Substitution of Quotient Identity cos(8) 1– sin(8) ]* cos(B) - Select an answer [1 – sin(8)]? cos²(B) Distribute the exponent [1 – sin(8)]? 1 – sin (8) [1 – sin(8)]? [1 – sin(8)|[1 + sin(B)] 1- sin(B) 1+ sin(B) | Rewrite with commmon denominators v Select an answer - Substitution of Reciprocal Identity Distribute multiplication Substitution of Pythagorean Identity Rewrite with commmon denominators Substitution of Conjugate Identity Substitution of Quotient Identity
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