Hello.

Here's a hint:

sin x cos x =0

<=> sin x = 0 or cos x =0

This means, the zeros of sin AND zeros of cos are solutions. Do you know what the zeros are? (you probably should know that)

Same hint here

Sin x (cos x - 1) = 0

<=> sin x = 0 OR cos(x) - 1 = 0

<=> sin x = 0 OR cos(x) = 1

Do you know, where cos(x) = 1? You probably should know that too.

cos(0°) = 1 e.g. But there are some more solutions on [0°,360°]

Does it help?

Rapha