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Use the figure to derive the formulas for sin D A 2 COS 2 and tan N/ NI cos 8 sin 0 sin E D COS S N tan = 2The Force F(in pounds) on a person's back when he or she bends over at an angle 6 from an upright position is modeled by = 0.6W sin(6 + 90] sin(12) F where W represents the person's weight (in pounds). (a) Simplify the model. F= (b) Use a graphing util'ty to graph the model, where W = 195 and 0 S 6 S 90. At what angle (in degrees) is the force maximized? At what angle (in degrees) is the force minimized? Find the solution of each inequality in the interval [0, 213:). (Enter your answers using interval notation.) (a) sin(x) 2 0.5 (b) cos(x) s D.5 (c) 2 tan(x)