Ответы на вопрос:
F'(t) = (sin(t))' + (ctg(t))' = w (sin(t))' = cos(t), (ctg(t))' = (cos(t)/sin(t))' = (-sin(t)*sin(t) - cos(t)*cos(t))/sin^2(t) = = -1/sin^2(t), w = cos(t) - (1/sin^2( f'(t0) = cos(п/2) - (1/sin^2(п/2)) = 0 - (1/1) = -1.
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