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The simplified form is \( \tan x \).
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Beyond the Answer
To simplify \(\sin x \sec x\), first recall that \(\sec x\) is the reciprocal of \(\cos x\). Thus, we can rewrite the expression as: \[ \sin x \sec x = \sin x \cdot \frac{1}{\cos x} = \frac{\sin x}{\cos x} \] This is equivalent to \(\tan x\). Therefore, the simplified form of \(\sin x \sec x\) is: \[ \tan x \]
