Derive an expression

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

Derive an expression, in the form of a single sine function, for the resultant displacement produced by the superposition of the waves

y_1=A\sin(kx-\omega t)\quad\text{and}\quad y_2=A\sin(kx-\omega t+\phi),

where

A

and

\phi

are constants. Express your final answer in terms of

A

\phi

k

x

, and

t