Answer
$1$
Work Step by Step
Use the Identity $\cos 2 \theta =1-2 \sin^2 \theta$
Thus, we have
$\dfrac{ \cos 2 \theta}{1- 2\sin^2 \theta}=\dfrac{\cos 2 \theta}{\cos 2 \theta}=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.