zoeysimmons zoeysimmons
  • 26-07-2022
  • Mathematics
contestada

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

Given sin theta513 and cos theta1213 which of the following can be proven using a Pythagorean identity class=

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jimrgrant1 jimrgrant1
  • 26-07-2022

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

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