若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是?若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是多少

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若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是?若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是多少若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的

若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是?若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是多少
若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是?
若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是多少

若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是?若a∈(0,π/2)且sin(a-π/6)=1/3则cosa的值是多少
cosa=cos{a-π/6+π/6}
cosa={2根号6-1}/6
有问Hi我

a-π/6∈(-π/6,π/3) cos(a-π/6)为正 cos(a-π/6)=3分之2倍根号2
cosa=cos(a-π/6+π/6)=cos(a-π/6)*cos(π/6)-sin(a-π/6)*sin(π/6)
=3分之2倍根号2*2分之根号3-1/3*1/2
=3分之根号6-1/6