cos ( x + (3pi/2) ) = sin x

Please note that if I apply the formula of subtraction of the cosine function, I get:

left side = cos (x +3pi/2) = cos x cos (3pi/2) - sin x sin(3pi/2) = cos x * 0 - sin x * (-1) = sin x = right side,

since cos(3pi/2) = 0, and sin(3pi/2) = -1

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