Question

Thank you for your help!

Answer 1

Answer:

  x = 0, π/2, π

Step-by-step explanation:

One can only divide by a value that is non-zero. The division is invalid when sin(x) = 0, at x = 0 or π.

The equation should have been factored.

  sin²(x) -sin(x) = 0

  sin(x)(sin(x) -1) = 0

The zero product rule tells us the product will be zero for either factor being zero:

  sin(x) = 0   ⇒   x =  0, π

  sin(x) -1 = 0   ⇒   x = π/2

The solutions are ...

  x ∈ {0, π/2, π}