tan(a+π/4)=(tana+tanπ/4)/(1-tana*tanπ/4)=(tana+1)/(1-tana)=1/7
解得tana=-3/4,而(seca)平方=(tana)平方+1=25/16
而a在π/2,π之間,所以seca=-5/4,所以cosa=1/seca=-4/5,所以sina=3/5(sina平方+cosa平方=1)
所以sina+cosa=-4/5+3/5=-1/5
已知a屬于(派/2,派),tan(a+派/4)=1/7則sina+cosa=?
已知a屬于(派/2,派),tan(a+派/4)=1/7則sina+cosa=?
數(shù)學人氣:674 ℃時間:2020-09-10 18:48:36
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