Find the general solution of each of the following equations:
sin x tan x – 1 = tan x – sin x
To Find: General solution.
Given: sin x tan x – 1 = tan x – sin x 
sin x(tan x + 1) = tan x + 1
So sin x = 1 = sin (
) or tan x = -1 = tan(
)
Formula used: sin
= sin
= n
+ (-1)n
, n
I and tan
= tan
= k
, k
I
x = n
+ (-1)n 
or x = k
where n, k 
I
So general solution is x = n
+ (-1)n 
or x = k
where n, k 
I
2