Respuesta :

Answer:

4th option

Step-by-step explanation:

given

sinΘ = [tex]\frac{5}{13}[/tex] and cosΘ = [tex]\frac{12}{13}[/tex] , then

( [tex]\frac{5}{13}[/tex] )² + ( [tex]\frac{12}{13}[/tex] )²

= [tex]\frac{25}{169}[/tex] + [tex]\frac{144}{169}[/tex]

= [tex]\frac{25+144}{169}[/tex]

= [tex]\frac{169}{169}[/tex]

= 1

showing sin²Θ + cos²Θ = 1