If `f(x) = (cos x+i sin x) (cos 2x+i sin 2x) (cos 3x + i sin 3x) ... (cos nx + i sin nx)` = and `f(1) = 1, then f''(1)` is equal to

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

If f(x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)......(cos nx+i sin n and f(1)=1, then f^(11) is equal to (a) (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(C)-{(n(n+1))/(2)}^(2) (d) none of these

If quad f(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 (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(c)-{(n(n+1))/(2)}^(2) (d) none of these

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

If f(x)=(cos x-sin x)/(cos x+sin x) then f^(-1)(x)=

if int e^(sin x)(x cos^(3)x-sin x)/(cos^(2)x)dx and f(0)=1 then f(pi)= is

If I_(n)= int(sin nx)/(cos x)dx , then I_(n)=