(i) Define the function f(x)=cos(2x)sin(x)cos(x) (ii) Calculate f(/8) and f(/2). Calculate also the values as a floatpoint number. (iii) Plot y=f(x) for /8x/2. (iv) Calculate limx/4+f(x) and limx/4f(x). (v) Calculate dxdf. Then evaluate it at x=0. Obtain the output as a floating point number as well. (vi) Calculate 0/8f(x)dx