A particle undergoes SHM governed by the equation x=x0cos⁡ωt−π4. Also, if acceleration of the particle can be written as a=Acos⁡(ωt+δ), then

Given. x=x0cos⁡ωt−π4Velocity, ν=dxdt=−x0ωsin⁡ωt−π4Acceleration,a=dvdt=−x0ω2cos⁡ωt−π4x0ω2cos⁡π+ωt−π4x0ω2cos⁡ωt+3π4Comparing it with acceleration,a=Acos⁡(ωt+δ), we getA=x0ω2,δ=3π4