化简:[sin(2π-2)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin...化简:[sin(2π-2)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin(-π-x)]

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/13 14:36:53

化简:[sin(2π-2)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin...
化简:
[sin(2π-2)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin(-π-x)]

式子中的sin(2π-2)应该是sin(2π-x)吧!
[sin(2π-x)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin(-π-x)]
=[sin(2π-x)cos(π+x)tan(π-x)]/[cos(π-x)sin(3π-x)sin(-π-x)]
=[sin(-x)(-cosx)(-tanx)]/[-cosxsin(π-x)sin(π-x)]
=(-sinx*cosx*tanx)/(-cosx*sinx*sinx)
=tanx/sinx
=1/cosx