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Sine and cosine curves enclose a sliver between x = 0 and x = π/4. Its area is
A(2 - √2) sq units
B(√2 + 1) sq units
C1/√2 sq units
D(√2 - 1) sq units
Answer & Solution
Correct answer: D. (√2 - 1) sq units
The integral of (cos x - sin x) is sin x + cos x, giving √2 - 1 over 0 to π/4.
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