Let `f(x)-cos5x+Acos4x+Bcos3x+Ccos2x+Dcosx E and T-f(0)-f(pi/5)+f((2pi)/5)-f((3pi)/5)+.........+f((8pi)/5)-f((9pi)/5)` then T

If f'(x)=a sin x+b cos x and f'(0)=4,f(0)=3,f((pi)/(2))=5f(x)

If f'(x)=a sin x+b cos x and f'(0)=4,f(0)=3,f((pi)/(2))=5, find f(x)

let f(x)=e^(cos-1)sin(x+(pi)/(3)) then f((8 pi)/(9)) and f((-7 pi)/(4))

(2)/(x-f((pi)/(12)))+(3)/(x-f((pi)/(4)))+(4)/(x-f((5 pi)/(12)))=0

If f'(x) = a sin x + b cos x and f'(0) = 4,f(0) = 3, f((pi)/(2))= 5 , find f(x).

let f(x)=e^(cos^(-1)sin(x + pi/3)) then f((8pi)/9) and f((-7pi)/4)

If f(x) =tan , x in [0.(pi)/(5)] then show that (pi)/(5) lt ((pi)/(5)) lt (2pi)/(5)

Let f:(-pi/2, pi/2)->R , f(x) ={lim_(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(tanx)^(2n)) x in 0 , n in N ; 1 if x=0 which of the following holds good? (a) f(-(pi^(-))/4)=f((pi^(+))/4) (b) f(-(pi^(-))/4)=f(-(pi^(+))/4) (c) f((pi^(-))/4)=f((pi^(+))/4) (d) f(0^(+))=f(0)=f(0^(-))

int_((pi)/(5))^((3pi)/(10))(f(sin x))/(f(sin x) + f(cos x)) dx

If f(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s f(x)+f(pi) (b) f(x)+2(pi) f(x)+f(pi/2) (d) f(x)+2f(pi/2)