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Over a full turn, the sum sin x + cos x reaches exactly 1 at how many angles (0 and 2π counted)?
A3
B1
C4
D2
Answer & Solution
Correct answer: A. 3
Writing it as √2 sin(x + π/4) = 1 gives x + π/4 = π/4 or 3π/4 (plus 2π), so x = 0, π/2 and 2π.
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