宫颈息肉需要手术吗:sin12*sin24*sin48*sin84怎么计算 (过程) 不要计算器

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sin12*sin24*sin48*sin84

=(sin84*sin24)(sin48*sin12)

= -1/2[cos108-cos60]*(-1/2)[cos60-cos36]

= 1/4(cos108-1/2)(1/2-cos36)

= 1/4(cos72+1/2)(cos36-1/2)

= 1/4cos72cos36+1/8(cos36-cos72)-1/16

= 1/4cos72cos36+1/8*(-2)sin54sin(-18)-1/16

= 1/4cos72cos36+1/4cos36cos72-1/16

=1/2cos36cos72-1/16

=1/4*(2sin36cos36cos72)/sin36-1/16

=1/4*sin72cos72/sin36-1/16

=1/8*sin144/sin36-1/16

=1/8-1/16

=1/16

二倍角公式的典型应用....