若0
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若0若0若0∵α为锐角∴cosα=4/5tanα=3/4sin(α+π/6)=sinαcos(π/6)+cosαsinπ/6=√3/2sinα+1/2cosα=(3√3+4)/10cos(π/3+α)
若0
若0
若0
∵α为锐角
∴cosα=4/5tanα=3/4
sin(α+π/6)=sinαcos(π/6)+cosαsinπ/6
=√3 /2sinα+1/2cosα
=(3√3+4)/10
cos(π/3+α)=cosαcos(π/3)-sinαsin(π/3)
=1/2cosα-√3 /2sinα
=(4-3√3)/10
tan(α+π/4)=(tanα+tanπ/4)/(1-tanαtanπ/4)
=(7/4)/(1/4)
=7