若cos(π/6-A)=A,則sin(2π/3-A)為什麼等於A?

若cos(π/6-A)=A,則sin(2π/3-A)為什麼等於A?

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