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} ((24)/(7))^2+1=((25)/(7))^2 \\ 1+((24)/(7))^2=((25)/(7))^2 \end{gathered}`

Answer: