If `sinpi/6+secpi/6=x`, then x is

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

If x in[-6 pi,6 pi] and {x} denotes fraction part of 'x' then how many xx sin{x+6} and cos{x-6} intersect?

If f(x) = x^(6) + 6^(x) , then f'(x) is equal to

If 1/6 - x = 1/6 , then x = ________.

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cospi/4 (b) sinpi/2 (c) sinpi/6 (d) cospi/3

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cospi/4 (b) sinpi/2 (c) sinpi/6 (d) cospi/3

Prove that the function f(x)=sinpi|x| is continuous at x = 0 but not differntiable at the same point.

If x + 1/x = 5 , then x^6 + 1/(x^6) is

If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi/6):} is continuous at x = (pi)/6 , then a =