(2-sin(x)^2)-(2-cos(x)^2)=cos2x 如何证明啊?

问题描述:

(2-sin(x)^2)-(2-cos(x)^2)=cos2x 如何证明啊?

(2-sin(x)^2)-(2-cos(x)^2)
=2-sin(x)^2-2+cos(x)^2
=cos(x)^2-sin(x)^2
=cos2x就是不知道最后一步如何推导,能详细点吗?这是公式,不用推导