Q36 of 55 Page 35

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 .

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The principal value of is ________.