Using pythagorean identity:
[tex]\sin ^2(\theta)+\cos ^2(\theta)=1[/tex]
Divide both sides by cos²:
[tex]\tan ^2(\theta)+1=\sec ^2(\theta)[/tex]
Replace the given values:
[tex]\begin{gathered} (\frac{24}{7})^2+1=(\frac{25}{7})^2 \\ 1+(\frac{24}{7})^2=(\frac{25}{7})^2 \end{gathered}[/tex]
Answer:
