If cos x=1/9,find all possible values of sec x-tan x/sin x,by showing all the working out,

Answer 1

tan x = sin x / cos x

sec x - tan x / sin x =

1 / cos x - ( sin x / cos x ) / sin x =

1 / cos x - sin x / cos x * sin x =

1 / cos x - 1 / cos x = 0

sec x - tan x / sin x is always zero, regardless value of cos x