Question

tg(3пx/32)=ctg(5пх/32)

Answer 1

tg(3пx/32) = Ctg(5пх/32)
tg(3пx/32) - Ctg(5пх/32) = 0
Sin(3пx/32) /Cos(3пx/32) - Cos(5пx/32)/Sin(5пx/32) = 0
Sin(3пx/32) *Sin(5пx/32)  - Cos(3пx/32) * Cos(5пx/32) = 0
Cos(3пx/32 + 5пx/32) = 0
Cos8пx/32 = 0
Cos πx/4 = 0
πx/4 = π/2 + πk , k ∈Z
x = 2 + 4k, k ∈Z