化简:cos(π/3+a)+sin(π/6)+a=
问题描述:
化简:cos(π/3+a)+sin(π/6)+a=
答
楼主题目应该写错了,如果是下面这个的话,解答如下:
cos(π/3+a)+sin(π/6+a)
= cosπ/3*cosa-sinπ/3*sina+sinπ/6*cosa+cosπ/6*sina
=1/2cosa-√3/2sina+1/2cosa+√3/2sina
=cosa
答
应该是你打错了吧?!
原式应该是cos(π/3+a)+sin(π/6+a)
=cosπ/3cosa-sinπ/3sina+sinπ/6cosa+cosπ/6sina
=cosa/2-(根号3)/2sina+cosa/2+(根号3)/2sina
=cosa