f(x)=sin(π-α)cos(2π-α)tan(-α+π)/-tan(α-π)sin(-π-α) 化简这个式子..
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![f(x)=sin(π-α)cos(2π-α)tan(-α+π)/-tan(α-π)sin(-π-α) 化简这个式子..](/uploads/image/z/5530458-66-8.jpg?t=f%28x%29%3Dsin%28%CF%80-%CE%B1%29cos%282%CF%80-%CE%B1%29tan%28-%CE%B1%2B%CF%80%29%2F-tan%28%CE%B1-%CF%80%29sin%28-%CF%80-%CE%B1%29+%E5%8C%96%E7%AE%80%E8%BF%99%E4%B8%AA%E5%BC%8F%E5%AD%90..)
f(x)=sin(π-α)cos(2π-α)tan(-α+π)/-tan(α-π)sin(-π-α) 化简这个式子..
f(x)=sin(π-α)cos(2π-α)tan(-α+π)/-tan(α-π)sin(-π-α) 化简这个式子..
f(x)=sin(π-α)cos(2π-α)tan(-α+π)/-tan(α-π)sin(-π-α) 化简这个式子..
f(x)=sin(a)cos(-a)tan(-a)/-tan(a)sin(a)
=-sin(a)cos(a)tan(a)/-tan(a)sin(a)
=cos(a)
用到的原理:
sin(-a)=-sin(a)
tan(-a)=-tan(a)
cos(-a)=cos(a)
正弦、余弦函数最小正周期为2π
正切最小正周期π