Find a, b, c, and d, where `f(x)=(ax+b)cosx+(cx+d)sinxandf'(x)=xcosx ` is identity in x.

f(x)=secx, g(x)=1/cosx Identical or not?

f(x)=sinx+cosx+3 . find the range of f(x).

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

f(x)= bx^(2) + cx and d and f(x+ 1) - f(x)= 8x + 3 then…….

The number of points where f(x) = [sin x + cosx] (where [.] denotes the greatest integer function) x in (0,2pi) is not continuous is (A) 3 (B) 4 (C) 5 (D) 6

If a function is defined as f(x)=sqrt(log_(h(x))g(x)) , where g(x)=|sinx|+sinx,h(x)=sinx+cosx,0lexlepi . Then find th domain of f(x) .

If X= { a, b, c, d } and Y = { f, b, d, g} , find X ∩ Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find X – Y

If X= { a, b, c, d } and Y = { f, b, d, g} , find Y – X