2013-11-17
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f(x) = sin(2x - π/4) - 2√2sin�0�5x= √2/2sin(2x) - √2/2cos(2x) - (2√2)×(1/2)[1 - cos(2x)]= √2/2sin(2x) - √2/2cos(2x) - √2 + √2cos(2x)= √2/2sin(2x) + √2/2cos(2x) - √2 = (√2/2)[sin(2x) + cos(2x)] - √2= (√2/2)×(√2)[(√2/2)sin(2x) + (√2/2)cos(2x)] - √2= sin(2x + π/4) - √2故f(x)的最小正周期为: T = 2π/2 = π
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