
已知(cosa+派/6)=5/13,a属于(0,派/2)则cosa=?
2011-08-29 · 知道合伙人教育行家
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cos(a+π/6)=5/13,a属于(0,π/2),则a+π/6属于(π/6,2π/3),
解得sin(a+π/6)=12/13
cosa=cos(a+π/6-π/6)
=cos(a+π/6)*cosπ/6+sin(a+π/6)*sinπ/6
=5/13*√3/2+12/13*1*2
=5√3/26+6/13
解得sin(a+π/6)=12/13
cosa=cos(a+π/6-π/6)
=cos(a+π/6)*cosπ/6+sin(a+π/6)*sinπ/6
=5/13*√3/2+12/13*1*2
=5√3/26+6/13
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