Solve the equation. (sin(x))(cos(x)) = 0 on [0, 2π)

Question

Calculus 1 Homework

Answer 1

For what x is sin x = 0?

For what x is cos x = 0?

Answer 2

sin x cos x = 0

=> 2 sin x cos x = 0

=> sin 2x = 0

=> 2x = 0, π, 2π

=> x = 0, π/2, π