Respuesta :

1) Considering those trigonometric ratios, we can write:

[tex]\begin{gathered} \sec (x)-\tan (x) \\ \frac{1}{\cos(x)}-\frac{\sin (x)}{\cos (x)} \\ \frac{1-\sin (x)}{\cos (x)} \\ \end{gathered}[/tex]

2) Since the secant is 1 over the cosine and the tangent is sine over the cosine, we can rewrite that expression as

[tex]\frac{1-\sin (x)}{\cos (x)}[/tex]

3) And that's the answer

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