已知(1+tana)/(1—tana)=3+2根号2,求证:(sina+cosa)²-cosa的三次方/sina=1
已知(1+tana)/(1—tana)=3+2根号2,求证:(sina+cosa)²-cosa的三次方/sina=1
数学人气:684 ℃时间:2020-04-09 10:45:21
优质解答
(1+tana)/(1-tana)=-1+2/(1-tana)=3+√21/(1-tana)=2+√21-tana=(2-√2)/2tana=√2/2sina/cosa=√2/2(sina)^2/(cosa)^2=1/2(sina)^2/(cosa)^2+1=3/2[(cosa)^2+(sina)^2]/(cosa)^2=3/21/(cosa)^2=3/2(cosa)^2=2/3cota...
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