已知cos(a-π/3)=2/3 且a-π/3∈(0,2π/3) 求sina

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已知cos(a-π/3)=2/3 且a-π/3∈(0,2π/3) 求sina

已知cos(a-π/3)=2/3 且a-π/3∈(0,2π/3) 求sina
已知cos(a-π/3)=2/3 且a-π/3∈(0,2π/3) 求sina

已知cos(a-π/3)=2/3 且a-π/3∈(0,2π/3) 求sina
可得:sin(a-π/3)=√5/3
sina=sin[(a-π/3)+π/3]
=sin(a-π/3)cosπ/3+cos(a-π/3)sinπ/3
=√5/3x1/2+2/3x√3/2
=√5/6+2√3/6
=(√5+2√3)/6