
已知cos(a-6分之7π)=-5分之4,则cos(a+6分之π)+sina的值为
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cos(a-7π/6)=cos(a-π/6-π)=-cos(a-π/6)=-5分之4
cos(a-π/6)=4/5
cos(a+6分之π)+sina
=cosacos(π/6)-sinasin(π/6)+sina
=cosacos(π/6)+sinasin(π/6)
=cos(a-π/6)
=4/5
cos(a-π/6)=4/5
cos(a+6分之π)+sina
=cosacos(π/6)-sinasin(π/6)+sina
=cosacos(π/6)+sinasin(π/6)
=cos(a-π/6)
=4/5
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