已知sin(x+π/6)=3分之根下3,怎么求sin^2(π/3-x)?

问题描述:

已知sin(x+π/6)=3分之根下3,怎么求sin^2(π/3-x)?

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