State whether the following sentence is True or False:Cosine Similarity measures the similarity between two vectors by finding the cosine of the angle between thetwo vectors, and determining whether the two vectors are pointing in roughly the same direction or not.Answer choicesSelect only one optionTrueFalse

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SOLVED:Complex Fourier representation Verify that using complex exponential definitions of cosine and sine functions, i.e., cos(α)=(1)/(2)(e^i α+e^-i α) and sin(α)=(1)/(2 i)(e^i α-e^-i α), we can write the partial Fourier expansion model model(x, 𝐰)=w0+∑m=1^M[cos(2 πm x) w2 m-1+sin(2 πm x) w2 m] equivalently as model(x, 𝐯)=∑m=-M^M e^2 πi m x vm where the complex weights v-M, …, v0, …, vM are given in terms of the real weights w0, w1, …, w2 M as vm={ (1)/(2)(w2 m-1-i w2 m) if m>0

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