【(二倍角的三角函数)cosπ/5cos2/5π的值是___-查字典问答网
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  【(二倍角的三角函数)cosπ/5cos2/5π的值是______cosπ/5cos2π/5=sinπ/5cosπ/5cos2π/5/sinπ/5=4sinπ/5cosπ/5cos2π/5/4sinπ/5=2sin2π/5cos2π/5/4sinπ/5=sin4π/5/4sinπ/5=sin(π-π/5)/4sinπ/5=(1/4)sinπ/5/sinπ/5=1/4但从4sinπ】

  (二倍角的三角函数)

  cosπ/5cos2/5π的值是______

  cosπ/5cos2π/5

  =sinπ/5cosπ/5cos2π/5/sinπ/5

  =4sinπ/5cosπ/5cos2π/5/4sinπ/5

  =2sin2π/5cos2π/5/4sinπ/5

  =sin4π/5/4sinπ/5

  =sin(π-π/5)/4sinπ/5

  =(1/4)sinπ/5/sinπ/5

  =1/4

  但从4sinπ/5cosπ/5cos2π/5/4sinπ/5

  =2sin2π/5cos2π/5/4sinπ/5

  =sin4π/5/4sinπ/5

  =sin(π-π/5)/4sinπ/5

  =(1/4)sinπ/5/sinπ/5

  =1/4开始没看懂!不知道是怎么将式子变形的!

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2020-05-0900:10
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宋德舜

  由公式:sin(a+b)=sina*cosb+sinb*cosa可得:sin(π/5+π/5)=2sin(π/5)*cos(π/5).4sin(π/5)*cos(π/5)=2sin(2π/5);2sin(2π/5)*cos(2π/5)=sin(4π/5);4sin(π/5)*cos(π/5)*cos(2π/5)/(4sinπ/5)=2sin(2...

2020-05-09 00:15:00
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