计算:(sin平方45°+tan60°×cos30°)/(2cos45°+tan45°)等于多少?

问题描述:

计算:(sin平方45°+tan60°×cos30°)/(2cos45°+tan45°)等于多少?

(sin平方45°+tan60°×cos30°)/(2cos45°+tan45°)
=[(√2/2)²+√3*√3/2]/(2√2/2+1)
=(1/2+3/2)/(√2+1)
=2/(√2+1)
=2(√2-1)
=2√2-2