`lim_(x->pi/4)(cot^3x-tanx)/cos(x+pi/4)` is equal to (A) `8` (B) `4sqrt(2)` (C) `8sqrt(2)` (D) `2sqrt(2)`

lim_(xto pi/4) (cot^3x-tanx)/(cos(x+pi/4)) is

The value of lim_(xrarr(5pi)/(4))(cot^(3)x-tanx)/(cos(x-(5pi)/(4))) is equal to

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

The numerical value of tan((pi)/(3))+2tan((2 pi)/(3))+4tan((4 pi)/(3))+8tan((8 pi)/(3)) is equal to (A)-5sqrt(3)(B)-(5)/(sqrt(3))(C)5sqrt(3)(D)(5)/(sqrt(3))

The minimum value of the function f(x)=3tan x+4cot x where x in(0,(pi)/(2)) is (A) 7 (B) 2sqrt(12) (C) 6sqrt(2) (D) 12

5sin x+4cos x=3rArr4sin x-5cos x= a) 4 b) 4sqrt(2) c) 3sqrt(2) d) sqrt(2)

int_0^(4/pi) (3x^2sin(1/x)-xcos(1/x))dx= (A) (8sqrt(2))/pi^3 (B) (32sqrt(2))/pi^3 (C) (24sqrt(2))/pi^3 (D) sqrt(2048)/pi^3

If cosxdy/dx-y sin x=6x, (0ltxltx/2)and y(pi/3)=0 , then y(pi/6) is equal to (a) pi^(2) /(2sqrt 3) (b) -pi^(2) /(2sqrt 3) (c) -pi^(2) /(4sqrt 3) (d) (c) -pi^(2) /2

lim_(x rarr pi/4)(sqrt(cos x)-sqrt(sin x))/(x-(pi)/(4))