Math Problem: Direction and Distance

[2NywAqkS]

I am making a Particle simulator thing and I couldn't work out the formula for finding the new position of a particle using only the direction and distance. If anyone knows any answers would be appreciated.

[Disch]

// assuming:
//  'x' and 'y' are the current position
//  'angle' is an angle specifying which direction the particle is moving
//  'speed' is the speed at which the particle is moving

x += cos( angle ) * speed;
y += sin( angle ) * speed;

[2NywAqkS]

This was very helpful thanks