If `sinx, cosx, tanx`are in G.P., then `cot^6x-cot^2x=` (A) 0 (B) -1 (C) 1 (D) depends on x

If 1/6 sinx, cosx, tan x are in G.P. then x=,

The value of |(cos(x-a), cos(x+a), cosx),(sin(x+a), sin(x-a), sinx),(cosatanx, cosacotx, cosec2x)|= (A) 1 (B) sina cosa (C) 0 (D) sinx cosx

If 0 < x < pi and cosx + sinx = 1/2 then tanx =

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]| , where p is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a) p (b) p-p^3 (c) p+p^3 (d) independent of p

Solve 3 tan^(-1) x+cot^(-1)x=pi . a) 0 b) 1 c) -1 d) 1/2

If a=int_(1/2)^2 1/x cot^7(x-1/x)dx , then (A) a=0 (B) 0ltalt1 (C) agt0 (D) none of these

Number of roots of the equation sinx+cosx=x^2-2x+sqrt(6) is (A) 0 (B) 2 (C) 4 (D) an odd number

lim_(x→0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 (B) 2 (C) 4 (D) 6

lim_(x-gt0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 (B) 2 (C) 4 (D) 6

If 3f(cosx)+2f(sinx)=5x , then f^(')(cosx) is equal to (where f^(') denotes derivative with respect to x ) (A) −1/(cosx) (B) 1/(cosx) (C) -1/(sinx) (D) 1/(sinx)