sin(π⼀6-a)= -1⼀3,则cos(π⼀3+a)=_____

sin(π/6-a)= -1/3,则cos(π/3+a)=_____怎么用诱导公式做这题?谢谢谢谢
2025-03-13 10:12:11
推荐回答(5个)
回答1:

cos(π/3+a)=cos[π/2-(π/6-a)]=sin(π/6-a)=-1/3
注:利用的是cos(π/2-a)=sina

回答2:

cos(π/3+a)=__-1/3___
cos(π/3+a)=cos(-π/3-a)=
=sin(-π/3-a+π/2)
=-sin(π/6-a)
=-1/3

回答3:

sin(π/6-a)= -1/3
则cos(π/3+a)=sin[π/2-(π/3+a)]=sin(π/6-a)=-1/3

回答4:

cos(2π/3+2a)
=cos[2(π/3+a)]
=2cos²(π/3+a)-1
=2sin²[π/2-(π/3+a)]-1
=2sin²(π/6-a)-1

回答5:

cos(π/3+a)= sin[π/2 - (π/3 +a)] =sin(π/6-a) =-1/3