根号(sin60°-tan45°)²·(cos30°+2sin²45°)_数学解答

根号(sin60°-tan45°)²·(cos30°+2sin²45°)

人气：280 ℃　时间：2020-02-03 16:13:38

解答

√（sin60°-tan45°）^2*(cos30°+2(sin45°)^2
=√(√3/2-1)^2*(√3/2+2*1/2)
=|√3/2-1|*(√3/2+1)
=(1-√3/2)*(1+√3/2)
=1-(√3/2)^2
=1-3/4
=1/4