已知(tanx+1)/(2tanx+3)=2/7 计算(1)(sinx+cosx)/(5cosx-sinx)(2)1/(2sinxcosx+cos^2x+1)

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已知(tanx+1)/(2tanx+3)=2/7 计算(1)(sinx+cosx)/(5cosx-sinx)(2)1/(2sinxcosx+cos^2x+1)
已知(tanx+1)/(2tanx+3)=2/7 计算(1)(sinx+cosx)/(5cosx-sinx)(2)1/(2sinxcosx+cos^2x+1)

已知(tanx+1)/(2tanx+3)=2/7 计算(1)(sinx+cosx)/(5cosx-sinx)(2)1/(2sinxcosx+cos^2x+1)
(tanx+1)/(2tanx+3)=2/7 2(2tanx+3)=7(tanx+1) tanx=-1/3
1)分子分母都除以cosx,(tanx+1)/(5-tanx)=2/3/[5+1/3]=2/16=1/8
2)先化简,1/(2sinxcos+2cosx^2)=(cosx^2+sinx^2)/(2sinxcos+2cosx^2)
=(1+tanx^2)/(2tanx+2)
=(1+1/9)/(-2/3+2)
=(10/9)/(4/3)=5/6

(1)1/8