`f(x)=sin[x]+[sin x],0 < x < pi/2` (where [.] represents the greatest integer function), can also be represented as

Let f(x) = ([x] - ["sin" x])/(1 - "sin" [cos x]) and g (x) = (1)/(f(x)) and [] represents the greatest integer function, then

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is

If the function f(x)=(sin3x+a sin 2x+b)/(x^(3)), x ne 0 is continuous at x=0 and f(0)=K, AA K in R , then b-a is equal to

f(x) = sinx - sin2x in [0,pi]

The period of the function f(x)=(sin x+sin 2x+sin 4x+sin 5x)/(cos x+cos 2x+cos 4x+cos 5x) is :

Verify Lagrange's Mean Value Theorem for the following function: f(x)=2sin x+sin2x on [0,pi] .

If f(x)=x sin(1/x), x!=0 then (lim)_(x->0)f(x)=

The period of f(x)=sin(sin(x/5)) , is

f(x)=sin^-1x +|sin^-1x| +sin^-1|x| no. of solution of equation f(x)=x is (a) 1 (b) 0 (c) 2 (d) 3

Discuss the continuity of the following functions: (a) f(x) = sin x + cos x (b) f(x) = sin x - cos x (c) f(x) = sin x . cos x