计算:cos86°cos34°+sin86°sin214°

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计算:cos86°cos34°+sin86°sin214°
计算:cos86°cos34°+sin86°sin214°

计算:cos86°cos34°+sin86°sin214°
用诱导公式知道sin214°=sin(180°+34°)= - sin34°
那么原式=cos86°cos34°-sin86°sin34°
=cos(86°+34°)
=cos120°
= -0.5