Answer
1
Work Step by Step
1 + $tan^{2}x$ = $sec^{2}x$ for all x
$sec^{2}x$ - $tan^{2}x$ = 1.
So for x = $\frac{\pi}{3}$,
$sec^{2}\frac{\pi}{3}$ - $tan^{2}\frac{\pi}{3}$ = 1.
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