Question

Given tangent of theta equals 24 over 7 and secant of theta equals 25 over 7 comma which of the following can be proven using a Pythagorean identity?

Answer 1

Using pythagorean identity:

$\sin ^2(\theta)+\cos ^2(\theta)=1$

Divide both sides by cos²:

$\tan ^2(\theta)+1=\sec ^2(\theta)$

Replace the given values:

$\begin{gathered} (\frac{24}{7})^2+1=(\frac{25}{7})^2 \\ 1+(\frac{24}{7})^2=(\frac{25}{7})^2 \end{gathered}$

Answer: