Trigonometryhard · Past Paper
Simplify: sin²(π/8 + A/2) - sin²(π/8 - A/2).
Asin(A) / √2
Bcos(A) / √2
Csin(A/2)
D1/√2
✓ Correct Answer: A — sin(A) / √2
Using sin²X - sin²Y = sin(X+Y)sin(X-Y): sin(π/4) sin(A) = (1/√2) sin A.
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✓ Correct Answer: A — sin(A) / √2
Using sin²X - sin²Y = sin(X+Y)sin(X-Y): sin(π/4) sin(A) = (1/√2) sin A.
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