若sina=3/5,a属于(0,π/2),求sian^2a+3sinacosa+2cos^2a

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若sina=3/5,a属于(0,π/2),求sian^2a+3sinacosa+2cos^2a
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若sina=3/5,a属于(0,π/2),求sian^2a+3sinacosa+2cos^2a
若sina=3/5,a属于(0,π/2),求sian^2a+3sinacosa+2cos^2a

若sina=3/5,a属于(0,π/2),求sian^2a+3sinacosa+2cos^2a
sina=3/5,a属于(0,π/2)
cosa=4/5
sin^2a+3sinacosa+2cos^2a=(sina+cosa)(sina+2cosa)=(3/5+4/5)(3/5+8/5)=77/25