[tex]\[
\begin{array}{l}
\sec \theta=\frac{1}{\cos \theta}=\frac{1}{-\frac{5 \sqrt{26}}{26}}=\frac{-\sqrt{26}}{5} \\
\cot \theta=\frac{1}{\tan \theta}=\frac{1}{\frac{1}{5}}=5
\end{array}
\][/tex]

Which of the following explains whether all of Francesca's work is correct?

A. Each step is correct because she plotted the point, drew a line to the [tex]\( x \)[/tex]-axis to form a right triangle, used the Pythagorean theorem to find the hypotenuse, and finally wrote the correct ratios for all six functions.

B. She made her first error in step 1 because she should have drawn the line to the [tex]\( y \)[/tex]-axis to form the right triangle.

C. She made her first error in step 2 because she should have used a negative value for [tex]\( \cos \theta \)[/tex].

D. She made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also results in incorrect cosecant, secant, and cotangent functions.