(a) Determine the intervals where the functions y = f(x) and y =g(x) are increasing and decreasing for x [-27,2]. Find the abscissa and ordinate of the local extrema f(x) = sin(x) and g(x) = cos(x) (b) Determine the intervals where the functions y = f(x) and y= g(x) are convex and concave for x [-27,2]. Find the abscissa and ordinates of the inflection points. (c) Graph the functions y = f(x) and y = g(x) (d) After which operation does the graph of a sine function coincide with the graph of a cosine function? (e) Draw the graphs of the following functions using the function graphs drawn above. y = 5 sin(4x + ) - 2 5 y = cos(4x + 7) + 1/2 (f) Give at least 5 examples of the uses of the sine function.