Ctg ( pi / 3 - x/4 ) = 5/12

Question

Ctg ( pi / 3 - x/4 ) = 5/12

Answer 1

Решение
Ctg ( pi / 3 - x/4 ) = 5/12
ctg(x/4 - π/3) = - 5/12
x/4 - π/3 = arcctg(- 5/12) + πk, k ∈ Z
 x/4  = arcctg(- 5/12) + π/3 + πk, k ∈ Z
 x  = - 4*arcctg( 5/12) + 4π/3 + 4πk, k ∈ Z