三角化简sin(x-5兀)cos[(-兀/2)-x]cos(8兀-x)/sin[x-(3兀/2)]sin(-x-4兀)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 01:38:11

三角化简sin(x-5兀)cos[(-兀/2)-x]cos(8兀-x)/sin[x-(3兀/2)]sin(-x-4兀)
三角化简
sin(x-5兀)cos[(-兀/2)-x]cos(8兀-x)/sin[x-(3兀/2)]sin(-x-4兀)

三角化简sin(x-5兀)cos[(-兀/2)-x]cos(8兀-x)/sin[x-(3兀/2)]sin(-x-4兀)
sin(x-900°)cos(-90°-x)cos(1440°-x)/sin(x-270°)sin(-x-720°)
=sin(-180°+x)cos(-90°-x)cos(-x)/sin(-270°+x)sin(-x)
=-sinx(-sinx)cosx/cosx(-sinx)
=-sinx

sin(x-5兀)cos[(-兀/2)-x]cos(8兀-x)/sin[x-(3兀/2)]sin(-x-4兀)
=sin(x-π)cos(π/2+x)cos(x-8π)/[-sin(3π/2-x)][-sin(x+4π)]
=sinx(-sinx)cosx/(-cosx)(-sinx)
=-sinx

电脑上打下就行

cos(x)