Math Problem Statement
User responses cleared Homework:8.5 Question 9, 8.5.37 Part 1 of 4 HW Score: 61.54%, 8 of 13 points Points: 0 of 1
Skip to Main content Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Question 12 Question 13 Question content area top Part 1 Find the exact value of each of the following under the given conditions below. tangent alpha equals negative StartFraction 12 Over 5 EndFraction comma StartFraction pi Over 2 EndFraction less than alpha less than pi ; sine beta equals StartFraction StartRoot 3 EndRoot Over 2 EndFraction comma 0 less than beta less than StartFraction pi Over 2 EndFraction (a) sine left parenthesis alpha plus beta right parenthesis (b) cosine left parenthesis alpha plus beta right parenthesis (c) sine left parenthesis alpha minus beta right parenthesis (d) tangent left parenthesis alpha minus beta right parenthesis
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sum and Difference Formulas
Sine
Cosine
Tangent
Formulas
sin(α + β) = sin(α)cos(β) + cos(α)sin(β)
cos(α + β) = cos(α)cos(β) - sin(α)sin(β)
sin(α - β) = sin(α)cos(β) - cos(α)sin(β)
tan(α - β) = (tan(α) - tan(β)) / (1 + tan(α)tan(β))
Theorems
Sum and Difference Identities for Trigonometric Functions
Suitable Grade Level
Grades 10-12
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