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化简:{(1+sinx+cosx)[sin(x/2)-cos(x/2)}/根号下的(2+2cosx)
人气:192 ℃ 时间:2019-08-20 04:23:27
解答
[1+2cosx/2*sinx/2+cos(x/2)^2-sin(x/2)^2 ][sin(x/2)-cos(x/2)]/根号下的[2*2cos(x/2)^2]
=2cos(x/2)[sin(x/2)+cos(x/2)][sin(x/2)-cos(x/2)]/2cos(x/2)
=-cosx
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