Find the general solution for each of the following equations:

sec² 2x = 1– tan 2x

Given equation is

⇒

⇒

⇒ tan 2x (tan 2x +1) = 0

⇒ tan 2x = 0 or (tan 2x +1) = 0

Now tan 2x = 0

⇒ tan 2x = tan 0

⇒

⇒

Now (tan 2x +1) = 0

⇒

⇒ where n ∈Z

⇒ where n ∈Z and Z is set of integers

The general solution of the equation is

where n ∈Z and Z is set of integers