三角函数化简的题目(sinx+cosx
(sinx+cosx-1)(sinx-cosx+1)
=--------------------------
sin2x
[sinx+(cosx-1)][sinx-(cosx-1)]
=--------------------------------
sin2x
sin^x-(cosx-1)^
=---------------
sin2x
sin^x-cos^x+2cosx-1
=--------------------
sin2x
-2cos^x+2cosx
=---------------
sin2x
2cosx(1-cosx)
=---------------
2sinxcosx
1...全部
(sinx+cosx-1)(sinx-cosx+1)
=--------------------------
sin2x
[sinx+(cosx-1)][sinx-(cosx-1)]
=--------------------------------
sin2x
sin^x-(cosx-1)^
=---------------
sin2x
sin^x-cos^x+2cosx-1
=--------------------
sin2x
-2cos^x+2cosx
=---------------
sin2x
2cosx(1-cosx)
=---------------
2sinxcosx
1-cosx
=--------
sinx
2sin^(x/2)
=------------------
2sin(x/2)cos(x/2)
sin(x/2)
=------------
cos(x/2)
=tan(x/2)
。
收起
