Question

tg(x/3-p/4)=-1 плиз

Answer 1

$tg( frac{x}{3} - frac{ pi }{4} )=-1$
$frac{x}{3} - frac{ pi }{4}=arctg(-1)+ pi n,$n∈Z
$frac{x}{3}- frac{ pi }{4} =-arctg1$+πn, n∈Z
$frac{x}{3} - frac{ pi }{4} =- frac{ pi }{4} + pi n,$n∈Z
$frac{x}{3} =0+ pi n,$∈Z |*3
x=3πn, n∈Z