Q12 of 21 Page 608

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


More from this chapter

All 21 →
10

Find the general solution of each of the following equations:

sin x = tan x


 11

Find the general solution of each of the following equations:

4sin x cos x + 2sin x + 2cos x + 1 = 0


 13

Find the general solution of each of the following equations:

tan3 x – 3tan x = 0


 14

Find the general solution of each of the following equations:

sin x + sin 3x + sin 5x = 0