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问题: 三角函数问题

tan a =1/3,则cos^2 a +sin a * cos a =?

解答:

因为tana=1/3,所以sina/cosa=1/3
即cosa=3sina
则cos^2a+sina*cosa
=cos^2a+sina*cosa ( 9sin^2a+3sin^2a ) 12sin^2a
____________________=______________________=________________
cos^2a+sin^2a ( 9sin^2a+sin^2a ) 10sin^2a
=1.2
(COS^2a+Sin^2a=1)