计算(1+sin45°+sin60°)(1-cos45°+cos30°)

问题描述:

计算(1+sin45°+sin60°)(1-cos45°+cos30°)

(1+sin45°+sin60°)(1-cos45°+cos30°)
=(1+√2/2+√3/2)*(1-√2/2+√3/2)
=(1+√3/2)²-(√2/2)²
=1+3/4+√3-1/2
=5/4+√3