1)sin5π/12sinπ/12的值是

ljj3808703772022-10-04 11:39:541条回答

1)sin5π/12sinπ/12的值是
2)sin315°sin(-1260°)+cos570°sin(-840°)=?
3)已知sin(π/2+a)=-4/5,a∈(π,3π/2),则cos(π/3-a)的值为?

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空向秋波 共回答了18个问题 | 采纳率94.4%
=sinπ/12sinπ/12=1/12*1/12=1/144
=-sin45°(-sin180°)+cos150°sin(-120°)=0+sin60°sin120°=3/4
sin(π/2+a)=cosa=-4/5,cos(π/3-a)=cosπ/3*cosa+sinπ/3sina=1/2*(-4/5)+根号3/2*(-3/5)=-(4+3*根号3)/10
1年前

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cos5/12πcosπ/12+cosπ/12sinπ/6=?
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水涟儿 共回答了11个问题 | 采纳率100%
cos5/12πcosπ/12+cosπ/12sinπ/6
=cosπ/12(cos5/12π+sinπ/6)
=cosπ/12(cos(π/2-π/12)+sinπ/6)
=cosπ/12(sin(π/12)+2*sin(π/12)*cos(π/12))
=sin(π/12)*cos(π/12)*(1+2*cos(π/12))
=1/2*sin(π/6)*(1+2*cos(π/12))
=1/4*(1+2*cos(π/12))