1st you divide both left and right by cos x which gives you:
(sin x/cos x) > (cos x/cos x)
and we recognize that the left term will now be tan x
tan x > 1
x > arc tan 1
x > 45 degree
hmm good point lemme see,
tan x > 1
whereby tangent x is positive (shown on right hand side by the digit 1) hence we should consider the 1st and 3rd quardrant to find its limits.
x = 45 degree (lower limit)
x = 225 degree (upper limit)
hence the range it can go is
45 < x < 225 (if we only consider what the question wants and by inputing values into the calculator and comparing for sin and cos)
if we were to consider tan x>1 then the limits will be:
45 < x < 90
and
180 < x < 225