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Over [0, π], the sum of sine and cosine equals root two at which angle?

Aπ/4
Bπ/6
Cπ/2
D3π/4
Answer & Solution
Correct answer: A. π/4
√2 sin(x + π/4) = √2 requires x + π/4 = π/2, so x = π/4.
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