sina+cosa/sina-cosa=3,计算1/(sin²a-sinacosa-cos²a)

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sina+cosa/sina-cosa=3,计算1/(sin²a-sinacosa-cos²a)

sina+cosa/sina-cosa=3,计算1/(sin²a-sinacosa-cos²a)
sina+cosa/sina-cosa=3,计算1/(sin²a-sinacosa-cos²a)

sina+cosa/sina-cosa=3,计算1/(sin²a-sinacosa-cos²a)
(sina+cosa)/(sina-cosa)=3
sina+cosa=3sina-3cosa
2sina=4cosa
tana=2
1/(sin²a-sinacosa-cos²a)=(sin^2a+cos^2a)/(sin^2a-sinacosa-cos^2a)
=(tan^2a+1)/(tan^2-tana-1)
=(4+1)/(4-2-1)
=5

由题,sina=2cosa,而sina^2+cosa^2=1,得cosa^2=0.2
故:1/(sin²a-sinacosa-cos²a)
=1/(9-3-1)cosa^2
=1/(5*0.2)
=1