计算：sin²30°+cos²45°+根号2sin60°×tan45°
问题描述：
计算：sin²30°+cos²45°+根号2sin60°×tan45°
（cos²30°+cos²60°）/（tan60°×cos30°）+tan60°
答
sin²30°+cos²45°+根号2sin60°×tan45°
=(1/2)²+(√2/2)²+√2×√3/2×1
=1/4+1/2+√6/2
=3/4+√6/2
（cos²30°+cos²60°）/（tan60°×cos30°）+tan60°
=( 3/4+1/4)/(√3×√3/2)+√3
=2/3+√3