If the period of `(cos(sin(n x)))/(tan(x/n)),n in N ,i s6pi` , then `n=` (a) 3 (b) 2 (c) 6 (d) 1

The value of int_0^pi (sin(1+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >= 0 pi/2 (b) 0 (c) pi (d) 2pi

f(x)=e^x-e^(-x)-2sinx-2/3x^3dot Then the least value of n for which (d^n)/(dx^n)f(x)(""|)_(x=0)i snon z e roi s (a) 5 (b) 6 (c) 7 (d) 8

If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3), then z_(1), z_(2) …. Z_(6) is

If lim_(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must be equal to 4 (b) 1 (c) 2 (d) 3

If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) 7 (c) 5 (d) none of these

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^-sin^(2x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (n-1/2)pi,n in Z (d) none of these

If the 4th term in the expansion of (a x+1//x)^n is 5/2, then (a) a=1/2 b. n=8 c. a=2/3 d. n=6

IfA_n=int_0^(pi/2)(sin(2n-1)x)/(sinx)dx ,b_n=int_0^(pi/2)((sinn x)/(sinx))^2dxforn in N , Then A_(n+1)=A_n (b) B_(n+1)=B_n A_(n+1)-A_n=B_(n+1) (d) B_(n+1)-B_n=A_(n+1)

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if (a) b-a=npi,n in I (b) b-a=(2n+1)pi,n in I (c) b-a=2npi,n in I (d) none of these

If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,npi] , then value/values of n is/are (n in N) 5 (b) 3 (c) 4 (d) 6