f(x) = sin(x) and g(x) = cos(x) (a) The functions y = f(x) and y =...

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f(x) = sin(x) and g(x) = cos(x) (a) The functions y = f(x) and y = g(x) are increasing and decreasing for x = [-2, 2] determine the intervals. Find the abscissas and ordinates of the local extrema points. (b) Determine the intervals in which the functions y = f(x) and y = g(x) are convex and concave for x = [-2, 2]. Find the abscissas and ordinates of the inflection points. (c) Draw the graph of the functions y = f(x) and y = g(x). (d) As a result of which process does the graph of the sine function coincide with the graph of the cosine function? (e) Using the graphs drawn above, y = 5 sin (4x+7) - 2 and 4 Draw the graphs of the curves y = 1 cos (4x+7) + 5242 (f) Give at least 5 examples of usage areas of the sine function. f(x) = sin(x) and g(x) = cos(x) (a) The functions y = f(x) and y = g(x) are increasing and decreasing for x = [-2, 2] determine the intervals. Find the abscissas and ordinates of the local extrema points. (b) Determine the intervals in which the functions y = f(x) and y = g(x) are convex and concave for x = [-2, 2]. Find the abscissas and ordinates of the inflection points. (c) Draw the graph of the functions y = f(x) and y = g(x). (d) As a result of which process does the graph of the sine function coincide with the graph of the cosine function? (e) Using the graphs drawn above, y = 5 sin (4x+7) - 2 and 4 Draw the graphs of the curves y = 1 cos (4x+7) + 5242 (f) Give at least 5 examples of usage areas of the sine function.