sin10°sin50°-sin50°sin70°-sin70°sin10°=?请给出过程,谢谢了谢谢!

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sin10°sin50°-sin50°sin70°-sin70°sin10°=?请给出过程,谢谢了谢谢!
sin10°sin50°-sin50°sin70°-sin70°sin10°=?
请给出过程,谢谢了谢谢!

sin10°sin50°-sin50°sin70°-sin70°sin10°=?请给出过程,谢谢了谢谢!
=sin10sin50-sin70sin10-sin50sin70
=sin10{sin(60-10)-sin(60+10)}-sin(60-10)sin(60+10)
=sin10(-2sin10*cos60)-sin60*sin60cos10*cos10+sin10*sin10cos60*cos60
=-sin10*sin10-3/4+sin10*sin10
=-3/4

把这三个乘积都用积化和差公式就可以解决