Question

решите неравенство: 3ctg(x-π/5)>1

Answer 1

$3ctg(x-frac{pi}{5})>1;\ ctg(x-frac{pi}{5})>frac{1}{3};\pi*k<x-frac{pi}{5}<arcctgfrac{1}{3}+pi*k;\ frac{pi}{5}+pi*k<x<frac{pi}{5}+arcctgfrac{1}{3}+pi*k$

ответ

$(frac{pi}{5}+pi*k;frac{pi}{5}+arcctg frac{1}{3}+pi*k$, k є Z