来自顾栋梁的问题
求证:(sinx+cosx−1)(sinx−cosx+1)sin2x=tanx2.
求证:(sin x+cos x−1)(sin x−cos x+1)sin 2x=tanx2.
1回答
2020-04-11 21:19
求证:(sinx+cosx−1)(sinx−cosx+1)sin2x=tanx2.
求证:(sin x+cos x−1)(sin x−cos x+1)sin 2x=tanx2.
证明:左边=[sin x−(1−cos x)](sin x+1−cos x)sin 2x=(2sin x2cosx2−2sin2 x2)(2sin x2cosx2+2sin2 x2)2sin xcosx=4sin 2x2(cosx2−sinx2)(cosx2+sinx2...