Direction: Complete the proof below. sin(A+B) tan A+tan B Verify if sin(A-B) tan A-tan B Statements Reasons tan A + tan B tan A - tan B Quotient Identity of tan A tan A + tan B LCD tan A - tan B tan A + tan B Division of Fractions tan A - tan B tan A+ tan B sin A cos B + cos A sin B tan A-tan B sin A cos B - cos A sin B sin(A + B) sin(A - B) tan A+ tan B tan A-tan B

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 45E
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Question
Direction: Complete the proof below.
sin(A+B)
tan A+tan B
Verify if
sin(A-B)
tan A-tan B
Statements
Reasons
tan A + tan B
tan A – tan B
Quotient Identity of tan A
-
tan A + tan B
LCD
tan A - tan B
tan A+ tan B
Division of Fractions
tan A- tan B
tan A+ tan B
sin A cos B + cos A sin B
tan A- tan B
sin A cos B- cos A sin B
sin(A + B)
sin(A – B)
tan A+ tan B
tan A- tan B
Transcribed Image Text:Direction: Complete the proof below. sin(A+B) tan A+tan B Verify if sin(A-B) tan A-tan B Statements Reasons tan A + tan B tan A – tan B Quotient Identity of tan A - tan A + tan B LCD tan A - tan B tan A+ tan B Division of Fractions tan A- tan B tan A+ tan B sin A cos B + cos A sin B tan A- tan B sin A cos B- cos A sin B sin(A + B) sin(A – B) tan A+ tan B tan A- tan B
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