11:41 A T@ Le AeA | Question 4: 13 Marks The sketch shows the graphs of the functions f and g. The function f is defined by y =mcot cx and (2,2) is a point on the graph of f. The function g is defined by either 3 = asin b(xk) or y =acos b(xk), and b, and Mare positive constants. (4.1) For the function f determine: (a) the period, and hence (2) (b) the value of m (2) (c) the equation that defines f. (2) (4.2) For the function g determine: (a) the amplitude, and hence a (1) (b) the period, and hence b (2) (c) the phase shift, and hence k (2) (d) the equation that defines g. (2) Question 5: 18 Marks Sketch the graph of: (5.1) y=cot(2x ) (9) (5.2) y=4sec(x+ 2) (9) 4of 4 Mi e lt