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数学
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已知tan(4分之π+a)=二分之一.求(sina·cosa-cos^2a)/2cos^2a
人气:118 ℃ 时间:2020-02-02 17:21:49
解答
tan4分之π=1
所以(1+tana)/(1-tana)=1/2
2+tana=1-tana
tana=-1/3
原式=sinacosa/2cos²a-cos²a/2cos²a
=sina/2cosa-1/2
=(tana)/2-1/2
=-2/3
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