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The expression a sin x + b cos x can be written as one sine wave of what amplitude?
A√(a² - b²)
B(a + b)/2
C√(a² + b²)
D|a| + |b|
Answer & Solution
Correct answer: C. √(a² + b²)
Writing a = R cos φ and b = R sin φ gives R sin(x + φ) with R² = a² + b².
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