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Which pair of tools finishes the step for |sin nx| <= n|sin x|?

ABinomial theorem and AM-GM
BDe Moivre and Euler identity
CSine rule and cosine rule
DAngle addition and triangle rule
Answer & Solution
Correct answer: D. Angle addition and triangle rule
Expanding sin(k+1)x by angle addition and bounding it with the triangle inequality gives the step.
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