Answer
$1-\tan^2 x$
Work Step by Step
Here, we have $\cos^2 x-\sin^2 x \ne 1$
Use the correct identity $\sin^2 x +\cos^2 x = 1$
or, $=1-\dfrac{\sin^2 x}{\cos^2 x}$
or, $=1-\tan^2 x$
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