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