Respuesta :

Answer:

  • x =  {0, π/2, 3π/2, 2π}

Step-by-step explanation:

  • cotx cos x - cot x = 0
  • cotx( cosx - 1) = 0

1. cotx = 0

  • x = π/2 + πn
  • In the interval [0, 2π] we have π/2 and 3π/2

2. cosx = 1

  • x  = 0 + 2πn
  • In the given interval we have 0 and 2π

So the solution set is:

  • x =  {0, π/2, 3π/2, 2π}