
已知tana/tana-1=-1,求sin²a+sinacosa+2的值?
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tana/(tana-1)=-1,tana=1/2
sin²a+sinacosa+2
=(sin²a+sinacosa)/1+2
=(sin²a+sinacosa)/(sin^2a+cos^2a)+2 (上下同除以cos^2a)
=(tan^2a+tana)/(tan^2a+1)+2
=3/5+2
=13/5
sin²a+sinacosa+2
=(sin²a+sinacosa)/1+2
=(sin²a+sinacosa)/(sin^2a+cos^2a)+2 (上下同除以cos^2a)
=(tan^2a+tana)/(tan^2a+1)+2
=3/5+2
=13/5
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