2sin(x-4/π)sin(x+4/π)
题目
2sin(x-4/π)sin(x+4/π)
答案
=2sin(x-π/4)cos[π/2-(x+π/4)]
=2sin(x-π/4)cos(π/4-x)
=2sin(x-π/4)cos(x-π/4)
=2sin[2(x-π/4)]
=2sin(2x-π/2)
=-2cos2x
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