利用和(差)角的公式求cos(-61兀/12)的三角函数值.

问题描述:

利用和(差)角的公式求cos(-61兀/12)的三角函数值.

cos(-61兀/12)
=cos(-5π-兀/12)
=-cos(π/12)
=-cos(π/3-π/4)
=-[cos(π/3)cos(π/4)+sin(π/3)sin(π/4)]
=-[(1/2)*(√2/2)+(√3/2)*(√2/2)
=- (√6+√2)/4