己知tanx=2,求2/3sin^2x+1/4cos^2x的值
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己知tanx=2,求2/3sin^2x+1/4cos^2x的值己知tanx=2,求2/3sin^2x+1/4cos^2x的值己知tanx=2,求2/3sin^2x+1/4cos^2x的值2/3sin&
己知tanx=2,求2/3sin^2x+1/4cos^2x的值
己知tanx=2,求2/3sin^2x+1/4cos^2x的值
己知tanx=2,求2/3sin^2x+1/4cos^2x的值
2/3sin²x+1/4cos²x
=2/3(sin²x+cos²x)/sin²x+1/4*(sin²x+cos²x)/cos²x
=2/3(1+1/4)+1/4*(4+1)
=5/6+5/4
=25/12
2/3sin^2x+1/4cos^2x=(2/3sin^2x+1/4cos^2x)/(sin^2x+cos^2x),
注:根据sin^2x+cos^2x=1和sinx/cosx=tanx得到
分子分母同时除以cos^2x得
=(2/3tan^2x+1/4)/(tan^2x+1)
=(2/3*4+1/4)/5
=175/12
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