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

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

The smallest positive value of x (in degrees) for whichcos tan x=(cos5^(@)cos20^(@)+cos35^(@)cos50^(@)-sin50^(@)sin20^(@)-sin35^(@)sin50^(@))/(sin5^(@)cos20^(@)-sin35^(@)cos50^(@)+cos5^(@)sin20^(@)-cos35^(@)sin50^(@))

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 integer x (measured in degrees) such that tan(x-160^(@))=(cos50^(@))/(1-sin50^(@)) is

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

The set of values of x for which (tan3x-tan2x)/(1+tan3x tan2x)=1 is

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

The value of tan10^(@)tan50^(@)tan70^(@) is