Math Problem Statement
Find the maximum or minimum value of the function sinx/(1+tanx)
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Differentiation
Quotient Rule
Critical Points
Optimization
Formulas
f(x) = sin(x) / (1 + tan(x))
tan(x) = sin(x) / cos(x)
f'(x) = (g'(x)h(x) - g(x)h'(x)) / (h(x))^2
g'(x) = cos(2x)
h'(x) = -sin(x) + cos(x)
Theorems
Quotient Rule
Trigonometric Identities
Critical Point Theorem
Suitable Grade Level
Grades 11-12 and Early College
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