若cos(π/4-a)cos(π/4+a)=)=(√2)/6 (0<a<π/2)则sin2a=?

问题描述:

若cos(π/4-a)cos(π/4+a)=)=(√2)/6 (0<a<π/2)则sin2a=?

Cos(π/4-a)cos(π/4+a)=cos(a-π/4)cos(a+π/4)=根号2/6Cos(π/4-a)cos(a+π/4)-sin(π/4-a)sin(π/4+a)=cos(π/4-a+a+π/4)=cosπ/2=0所以 sin(π/4-a)sin(π/4+a)=根号2/6所以sin(a-π/4)sin(π/4+a)=-根号2/6Cos...