The number of real solutions of the equatio is
We have,
R.H.S-
So,
Squaring both sides, we get,
(1 + cos 2x) = 2x2
⇒ cos 2x = 2x2 – 1
Now, plotting cos 2x and 2x2 – 1, we get,
As, there is no point of intersection in , so there is no
solution of the given equation in .