Derive an expression for the autocorrelation, Basic Statistics

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i)A sionusodial signal has the form

x(t) = Asin?t

Derive an expression for the autocorrelation Rxx(λ)

II) Explain the significance of this result in term of the frequency of the correlation and also if noise were added to the sinusoidal signal x(t)

iii) If a signal x(t) is corrupt by additive white noise y(t)then the resulting signal would be
Y(t) = x(t) +v(t)

what form would the autocorrelation Ryy(λ)take in that case?

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