Which of the following wave functions satisfies the wave equation,

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Which of the following wave functions satisfies the wave equation,

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(a) y(x,t)=Acos(kx+ωt)y(x,t)=Acos⁡(kx+ωt);
(b) y(x,t)=Asin(kx+ωt)y(x,t)=Asin⁡(kx+ωt); © y(x,t)=A(coskx+cosωt)y(x,t)=A(cos⁡kx+cos⁡ωt)
(d) For the wave of part (b), write the equations for the transverse velocity and transverse acceleration of a particle at point x.