Question

Решите уравнение ctg2x-1=0

Answer 1

$ctg2x-1=0; 2xneq kpito xneqfrac{kpi}{2}; kinmathbb{Z}\\ctg2x=1Rightarrow2x=frac{pi}{4}+kpi /:2\\x=frac{pi}{8}+frac{kpi}{2}; kinmathbb{Z}$

Answer 2

$ctg2x-1=0\ctg2x=1\2x= frac{ pi }{4} + pi n \ x= frac{ pi }{8} + frac{ pi n}{2}$
n∈Z