Find the general solution of each of the following equations:
sec2 2x = 1- tan 2x
To Find: General solution.
Given: sec2 2x = 1- tan 2x 1 + tan22x+ tan 2x = 1
tan 2x (1+tan 2x) = 0
So, tan 2x = 0 or tan 2x = -1 = tan ()
Formula used: : tan= 0
= n
, n
I and tan
= tan
= k
, k
I
By using above formula, we have
2x = n or 2x = k
x =
or x =
So the general solution is x = or x =
where n, k
I