Question

3.Given the sample triangle below and the conditions a = 5, b = 5, find: sec(A).

Answer 1

Pythagorean Theorem

`\begin{gathered} c^2=a^2+b^2 \\ c^2=5^2+5^2 \\ c^2=25+25 \\ c^2=50 \\ c=\sqrt[]{50} \\ c=5\sqrt[]{2} \end{gathered}`

secant (A)

`\begin{gathered} \sec =\frac{1}{\cos\text{ x}} \\ \sec =\frac{1}{\frac{5}{5\sqrt[]{2}}} \\ \sec =\frac{5\sqrt[]{2}}{5} \\ \sec =\sqrt[]{2} \end{gathered}`