Find the exact value of the expressions Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β), Bold sin left parenthesis alpha plus beta right parenthesissin(α+β) and Bold tan left parenthesis alpha plus beta right parenthesistan(α+β) under the following conditions: Bold sin left parenthesis alpha right parenthesis equals StartFraction 40 Over 41 EndFractionsin(α)=4041, alphaα lies in quadrant I, and Bold sine left parenthesis beta right parenthesis equals StartFraction 24 Over 25 EndFractionsin(β)=2425, betaβ lies in quadrant II. Question content area bottom Part 1 a. Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) Part 2 b. Bold sin left parenthesis alpha plus beta right parenthesissin(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) Part 3 c. Bold tan left parenthesis alpha plus beta right parenthesistan(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Find the exact value of the expressions Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β), Bold sin left parenthesis alpha plus beta right parenthesissin(α+β) and Bold tan left parenthesis alpha plus beta right parenthesistan(α+β) under the following conditions: Bold sin left parenthesis alpha right parenthesis equals StartFraction 40 Over 41 EndFractionsin(α)=4041, alphaα lies in quadrant I, and Bold sine left parenthesis beta right parenthesis equals StartFraction 24 Over 25 EndFractionsin(β)=2425, betaβ lies in quadrant II. Question content area bottom Part 1 a. Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) Part 2 b. Bold sin left parenthesis alpha plus beta right parenthesissin(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) Part 3 c. Bold tan left parenthesis alpha plus beta right parenthesistan(α+β)equals=enter your response here (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
Related questions
Question
Find the exact value of the expressions
Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β),
Bold sin left parenthesis alpha plus beta right parenthesissin(α+β)
and
Bold tan left parenthesis alpha plus beta right parenthesistan(α+β)
under the following conditions:Bold sin left parenthesis alpha right parenthesis equals StartFraction 40 Over 41 EndFractionsin(α)=4041,
alphaα
lies in quadrant I, and
Bold sine left parenthesis beta right parenthesis equals StartFraction 24 Over 25 EndFractionsin(β)=2425,
betaβ
lies in quadrant II.Question content area bottom
Part 1
a.
Bold cos left parenthesis alpha plus beta right parenthesiscos(α+β)equals=enter your response here
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Part 2
b.
Bold sin left parenthesis alpha plus beta right parenthesissin(α+β)equals=enter your response here
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Part 3
c.
Bold tan left parenthesis alpha plus beta right parenthesistan(α+β)equals=enter your response here
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
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