三角函数求值 sin(arcsin(1/2) + arccos (1/3))=?sin(arcsin(1/2) + arccos (1/3))=?

问题描述:

三角函数求值 sin(arcsin(1/2) + arccos (1/3))=?
sin(arcsin(1/2) + arccos (1/3))=?

很简单啊。原式=1/2+sin(arccos(1/3))=1/2+2√2/3

用和差角的正弦公式啊。原式=sin(arcsin(1/2))cos(arccos(1/3))+cos(arcsin(1/2))sin(arccos(1/3))不就能算出来了。

matlab 计算的
0.9832
>> sin(asin(1/2) + acos (1/3))
ans =
0.9832

提示:sin²(arccos(1/3))=1-cos²(arccos(1/3))