计算:sin60°-cos60°+2sin30°cos30° 根号三sin60°-根号2cos45°+根号8的立方 写到好的在加分

问题描述:

计算:sin60°-cos60°+2sin30°cos30° 根号三sin60°-根号2cos45°+根号8的立方
写到好的在加分

sin60°-cos60°+2sin30°cos30° 根号三sin60°-根号2cos45°+根号8的立方
=√3/2-1/2+2×1/2×√3/2×√3×√3/2-√2×√2/2+8×2×√2
=√3/2-1/2+3√3/4-1+16√2
=5√3/4-3/2+16√2
=(5√3-6+64√2)/4

2分之根号3减去2分之一加上2分之根号3= 根号3减去1/2

sin60°-cos60°+2sin30°cos30°
=½√3-½+2×½×½√3
=½√3-½+½√3
=-½+√3
√3×sin60°-√2×cos45°+(√8³)
=√3×½√3-√2×½√2+16√2
=3/2-1+16√2
=½+16√2