已知x=5π/12,则sinx-cosx的值为?
问题描述：
已知x=5π/12,则sinx-cosx的值为?
答
已知x=5π/12,则：
sinx-cosx
=根号2*[(根号2)/2 *sinx - (根号2)/2 *cosx]
=根号2*sin(x- π/4)
=根号2*sin(5π/12 - π/4)
=根号2*sin(π/6)
=（根号2)/2