The smallest value of x (in degree) which satisfy `tanx cot(x +30^@) - tan(x + 10^@) tan(x + 20^@)=0,` is-

The smallest value of x (in degree) which satisfy tan x cot(x+30^(@))-tan(x+10^(@))tan(x+20^(@))=0 is- -

The smallest positive value of x (in degrees) for which tan(x+100^(@))=tan(x+50^(@))*tan x*tan(x-50^(@)) is

The set of values of x satisfying |tan^(-1)x|>=|cot^(-1)x| is

The smallest positive value of x( in degrees ) satisfying the equation (sin x-sin7x)/(cos7x-cos x)=tan6x is

The smallest positive values of x and y which satisfy "tan" (x-y) =1, "sec" (x+y) = (2)/(sqrt(3)) , are

The number of values of x in[-2 pi,2 pi] satisfying tan x+cot x=2cos ecx is

The value of x satisfying the equation ln(tan x)=0 ,is/are

Find the smallest positive value of x and y satisfying x-y=(pi)/(4) and cot x+cot y=2