已知 Sin(X+ 派/6)=1/4
问题描述:
已知 Sin(X+ 派/6)=1/4
求 Sin(5/6派 - X)+Sin^2 (派/3 -X)
答
Sin(X+ 派/6)=1/4
Sin(5/6派 - X)+Sin^2 (派/3 -X)
=Sin(派-x-1/6派)+Sin^2(派/2-x-派/6)
=Sin(x+1/6派)+cos^2(x+派/6)
=Sin(x+1/6派)+1-Sin^2(x+1/6派)
=1/4+1-1/16
=19/16