已知a∈(0,π/2),sin(a+π/3)=3/5,则sina=?如果能顺便帮我总结一下以后碰到这种题型该怎么做就更好了
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![已知a∈(0,π/2),sin(a+π/3)=3/5,则sina=?如果能顺便帮我总结一下以后碰到这种题型该怎么做就更好了](/uploads/image/z/1786607-71-7.jpg?t=%E5%B7%B2%E7%9F%A5a%E2%88%88%280%2C%CF%80%2F2%29%2Csin%28a%2B%CF%80%2F3%29%3D3%2F5%2C%E5%88%99sina%3D%3F%E5%A6%82%E6%9E%9C%E8%83%BD%E9%A1%BA%E4%BE%BF%E5%B8%AE%E6%88%91%E6%80%BB%E7%BB%93%E4%B8%80%E4%B8%8B%E4%BB%A5%E5%90%8E%E7%A2%B0%E5%88%B0%E8%BF%99%E7%A7%8D%E9%A2%98%E5%9E%8B%E8%AF%A5%E6%80%8E%E4%B9%88%E5%81%9A%E5%B0%B1%E6%9B%B4%E5%A5%BD%E4%BA%86)
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已知a∈(0,π/2),sin(a+π/3)=3/5,则sina=?如果能顺便帮我总结一下以后碰到这种题型该怎么做就更好了
已知a∈(0,π/2),sin(a+π/3)=3/5,则sina=?
如果能顺便帮我总结一下以后碰到这种题型该怎么做就更好了
已知a∈(0,π/2),sin(a+π/3)=3/5,则sina=?如果能顺便帮我总结一下以后碰到这种题型该怎么做就更好了
a∈(0,π/2),
a+π/3∈(π/3,5π/6),
cos(a+π/3)=-4/5
sina
=sin(a+π/3-π/3)
=sin(a+π/3)cosπ/3-cos(a+π/3)sinπ/3
=3/5*1/2+4/5*√3/2
=3/10+2√3/5
sin(a+π/3)=3/5
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