Question

Given sin theta=5/13 and cos theta=12/13, which of the following can be proven using a Pythagorean identity?

Answer 1

Answer:

4th option

Step-by-step explanation:

given

sinΘ = $\frac{5}{13}$ and cosΘ = $\frac{12}{13}$ , then

( $\frac{5}{13}$ )² + ( $\frac{12}{13}$ )²

= $\frac{25}{169}$ + $\frac{144}{169}$

= $\frac{25+144}{169}$

= $\frac{169}{169}$

= 1

showing sin²Θ + cos²Θ = 1