Draw the graph and discuss the continuity of `f(x)=[sinx+cosx],x in [0,2pi],` where [.] represents the greatest integer function.

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Discuss the continuity of f(x)=sgn(2cosx-1)

Draw the graph and find the points of discontinuity f(x) = [2cos x] , x in [0, 2pi] . ([.] represents the greatest integer function.)

Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the greatest integer function.

Solve tan x=[x], x in (0, 3pi//2) . Here [.] represents the greatest integer function.

Draw the graph of y = cos x, x in [0, 2pi], where [*] denotes the greatest integer function.

Draw the graph of [y] = sin x, x in [0,2pi] where [*] denotes the greatest integer function

Draw the graph of f(x)=[tan^(-1)x]," where "[*]" represents the greatest integer function".

Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.