If `f_n(x)=(sinx)/(cos3x)+(sin3x)/(cos3^2x)+(sin3^2x)/(cos3^3x)+.....+(sin3^(n-1)x)/(cos3^nx)` then `f_2(pi/4)+f_3(pi/4)=`

If quad f_(n)(x)=(sin x)/(cos3x)+(sin3x)/(cos3^(2)x)+(sin3^(2)x)/(cos3^(3)x)+....+(sin3^(n-1)x)/(cos3^(n)x) then f_(2)((pi)/(4))+f_(3)((pi)/(4))=

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

If (x)=(cos x+i sin x)(cos3x+i sin3x)...(cos(2n-1)x+i sin(2n-1)x) then f(x) is

If (x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)...(cos nx+i sin nx)= and f(1)=1, then f'(1) is equal to

At x=(5pi)/(6), f(x)=2sin3x+3cos3x is :

If f(x) = (cos x + i sin x)(cos 3x + i sin 3x) ….(cos (2n - 1)x + i(sin(2n - 1)x) , then f^(11)(x) is

Let f(x)=|(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x)| Then f'(pi/2)=

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=