If then write the value of in the simplest form.

Given,


To find the value of



[using the formula cos 2x = 2cos2 x – 1]





[using the formula cos 2x = 2cos2 x –1, here 2x = θ so x = ]







As given, now by dividing the whole inequation with 2 we get, .


This clearly state that lies in the 1st quadrant and between 45° and 90°.


So


1