1)ctg x/4=1 2)cos ( x- π/6) = 1/2

Question

1)ctg x/4=1
2)cos ( x- π/6) = 1/2

Answer 1

X - π/6 = (+ -) (π/3) + 2πn, n ∈ ZРешение
1)ctg x/4=1
x/4 = π/4 + πk, k ∈ Z
x = π + 4πk, k ∈Z

2)cos ( x- π/6) = 1/2
x - π/6 = (+ -) arccos(1/2) + 2πn, n ∈ Z
x  = (+ -) (π/3) + π/6 + 2πn, n ∈ Z