Q. 154.3( 3 Votes )

Find the general solution of each of the following equations:

sin x tan x – 1 = tan x – sin x

Answer :

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


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