若cosa=1/7,a∈(0,π/2),则cos(a+π/3)=?

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若cosa=1/7,a∈(0,π/2),则cos(a+π/3)=?

sina=4√3/7
cos(a+π/3)= cosa*cosπ/3 - sina*sinπ/3
=1/7*1/2-4√3/7*√3/2
=1/14-6/7
=-11/14

cosa=1/7,a属于(0,π/2),
sina=√(1-1/49)=4√3/7
cos(a+π/3)=cosa/2-√3/2*sina
=1/14-6/7
=-11/14