Water waves and light waves are both examples to

Transverse waves

Explanation:

Transverse waves are a type of wave that oscillates perpendicular to the direction of movement (the direction of propagation). These type of waves are usually represented by the sine or cosine functions due to the up and down oscillation of the waves.

In the case of water waves the thing that oscillates up and down are the water particles affected by the disturbance.

And for the case light waves what oscillates are the electric and magnetic fields, both oscillating perpendicular to the direction of light propagation.