Can the function `f(t)=sinomegat+cosomegat,` represent the simple harmonic function? Explain.

What is the time period for the function f(t) = sin omegat + cos omega t may represent the simple harmonic motion ?

Show that the function of ( sin omega t-cos omega t ) represents simple harmonic motion.

Define simple harmonic motion and explain it.

Show that a linear combination of sine and cosine function like x(t)=a sin omegat+b cos omegat represents a simple harmonic. Also, determine its amplitude and phase constant.

y(t)=(sinomegat-cosomegat) represents simple harmonic motion, determine the period of SHM.

Function x=Asin^(2)omegat+Bcos^(2)omegat=Csinomegat cos omegat represents simple harmonic motion,

Does the function y = sin^2 omegat represent a periodic or a simple harmonic motion ? What is the period of the motion ?

Represent Simple Harmonic Motion graphically.