Math Problem Statement
if alpha and beta are the distinct roots of acostheta+bsintheta=c then prove that cos (alpha+ beta) = (a²-b²)/(a²+b²)
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Roots of Trigonometric Equations
Angle Sum Identities
Formulas
a cos(theta) + b sin(theta) = c
cos(α + β) = cos(α)cos(β) - sin(α)sin(β)
Theorems
Sum of Angles Identity
Suitable Grade Level
Grades 11-12
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