Show that the amplitude of oscillation is √(A²+ B²) ~ S.H.M

The displacement of a particle in S.H.M. is given by𝑦 = 𝐴 𝑠𝑖𝑛 𝜔𝑡 + 𝐵𝑐𝑜𝑠𝜔𝑡Show that the amplitude of oscillation is √𝐴2 + 𝐵2 In mechanics and physics, simple harmonic motion is a special type of periodic motion an object experiences due to a restoring force whose magnitude is directly proportional to the distance of the object from an equilibrium position and acts towards the equilibrium position. x ( t ) = A cos ( ω t + ϕ ) . x ( t ) = A cos ( ω t + ϕ ) . This is the generalized equation for SHM where t is the time measured in seconds, ω ω is the angular frequency with units of inverse seconds, A is the amplitude measured in meters or centimeters, and ϕ is the phase shift measured in radians.