sec t + tan t or cosec t - cot t given: its reciprocal gives the other, solve for the ratios

1. A.
   $m + \frac{1}{m}$
2. B.
   $m - \frac{1}{m}$
3. C.
   $\frac{m}{2} + \frac{2}{m}$
4. D.
   $\frac{m}{2} + \frac{1}{2m}$

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1. A.
   $15$
2. B.
   $17$
3. C.
   $19$
4. D.
   $21$

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1. A.
   $\frac{1}{2}\left(m + n + \frac{1}{m} + \frac{1}{n}\right)$
2. B.
   $\left(m + n + \frac{1}{m} + \frac{1}{n}\right)$
3. C.
   $\frac{1}{2}\left(m + n - \frac{1}{m} - \frac{1}{n}\right)$
4. D.
   $\left(m + n - \frac{1}{m} - \frac{1}{n}\right)$

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1. A.
   $p$
2. B.
   $\sqrt{p^2 + 1}$
3. C.
   $\dfrac{1}{\sqrt{p^2 + 1}}$
4. D.
   $\dfrac{p}{\sqrt{p^2 + 1}}$

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1. A.
   $p$
2. B.
   $\sqrt{p^2 + 1}$
3. C.
   $\dfrac{1}{\sqrt{p^2 + 1}}$
4. D.
   $\dfrac{p}{\sqrt{p^2 + 1}}$

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