已知tana=2,求2/3sin^2a-sinacosa+cos^2a的值
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2/3sin^2a-sinacosa+cos^2a
=(2/绝昌3sin^2a-sinacosa+cos^2a)/(sin^2a+cos^2a) (sin^2a+cos^2a=1)
=(2/3tan^2a-tana+1)/宏宏祥(蔽搏tan^2a+1) (上下同时处以cos^2a)
=(2/3*2^2-2/3+1)/(2^2+1)
=3/5
=(2/绝昌3sin^2a-sinacosa+cos^2a)/(sin^2a+cos^2a) (sin^2a+cos^2a=1)
=(2/3tan^2a-tana+1)/宏宏祥(蔽搏tan^2a+1) (上下同时处以cos^2a)
=(2/3*2^2-2/3+1)/(2^2+1)
=3/5
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(2/3sin^2a-sinacosa+cos^2a)/cos^2a*cos^2a
=(2/带枯3tan^2a-tana+1)*cos^2a
=5cos^2a/3
tana=2
sina/cosa=2
sin^2a/cos^2a=4
(1-cos^2a)/cos^2a=4
cos^2a=1/销猛5
(2/蠢斗洞3sin^2a-sinacosa+cos^2a)/cos^2a*cos^2a
=(2/3tan^2a-tana+1)*cos^2a
=5cos^2a/3
=1/3
=(2/带枯3tan^2a-tana+1)*cos^2a
=5cos^2a/3
tana=2
sina/cosa=2
sin^2a/cos^2a=4
(1-cos^2a)/cos^2a=4
cos^2a=1/销猛5
(2/蠢斗洞3sin^2a-sinacosa+cos^2a)/cos^2a*cos^2a
=(2/3tan^2a-tana+1)*cos^2a
=5cos^2a/3
=1/3
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2/3sin^2a-sinacosa+cos^2a
=1/3
=1/3
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