设a为锐角,若cos(a+6分之拍)=5分之3,则sin(a-12分之拍)=?
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设a为锐角,若cos(a+6分之拍)=5分之3,则sin(a-12分之拍)=?
设a为锐角,若cos(a+6分之拍)=5分之3,则sin(a-12分之拍)=?
设a为锐角,若cos(a+6分之拍)=5分之3,则sin(a-12分之拍)=?
a为锐角,cos(a+π/6)=3/5
则:sin(a+π/6)=4/5
sin(a-π/12)=sin[(a+π/6)-π/4]
=sin(a+π/6)cos(π/4)-cos(a+π/6)sin(π/4)
=(4/5)(√2/2)-(3/5)(√2/2)
=√2/10
a为锐角,cos(a+π/6)=3/5
则:sin(a+π/6)=4/5
sin(a-π/12)=sin[(a+π/6)-π/4]
=sin(a+π/6)cos(π/4)-cos(a+π/6)sin(π/4)
=(4/5)(√2/2)-(3/5)(√2/2)
=√2/10
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