tan60°—(cot45°+2sin60°)分之(4cos60°)
问题描述:
tan60°—(cot45°+2sin60°)分之(4cos60°)
答
tan60°=√3,cot45°=1,sin60°=√3/2,cos60°=1/2
所以原式=√3-(4*1/2)/(1+2*√3/2)
=√3-2/(√3+1)
=√3-2*(√3-1)/[(√3-1)(√3+1)
=√3-2*(√3-1)/2
=√3-(√3-1)
=√3-√3+1
=1