Question

如果函数f(x)满足f(x+π)=-1/f(x),那么此函数的周期是?

Answer 1

f(x+π)=-1/f(x)

所以-1/f(x+π)=f(x)

则f(x+2π)=f[(x+π)+π]=-1/f(x+π)=f(x)

所以周期是2π