二分之根号下1加cos30
问题描述:
二分之根号下1加cos30
答
二分之根号下1加cos30°
=[√(1+cos30°)]/2
=√[2(cos15°)^2 ]/2
=( √2/2)cos 15°
= ( √2/2)cos(45°-30°)
=( √2/2)(cos45°*cos30°+sin45°*sin30°)
=( √2/2)(√6+√2)/4
=(√3+1)/4