已知tana=1/2,求sin²a+sinacosa+2的值
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![已知tana=1/2,求sin²a+sinacosa+2的值](/uploads/image/z/3997497-57-7.jpg?t=%E5%B7%B2%E7%9F%A5tana%3D1%2F2%2C%E6%B1%82sin%26sup2%3Ba%2Bsinacosa%2B2%E7%9A%84%E5%80%BC)
已知tana=1/2,求sin²a+sinacosa+2的值
已知tana=1/2,求sin²a+sinacosa+2的值
已知tana=1/2,求sin²a+sinacosa+2的值
sin²a+sinacosa+2=(sin²a+sinacosa)/(sin²a+cos²a)+2
=(tan²a+tana)/(tan²a+1)+2
=(3/4)/(5/4)+2
=3/5+2
=13/5
tana=1/2=sina/cosa
cosa=2sina
sin²a+cos²a=1=5sin²a
sin²a=0.2
sin²a+sinacosa+2=sin²a+2sin²a+2=2+3sin²a=2.6