Respuesta :

Answer: First Option

[tex]sin(A)=\frac{35}{37}[/tex], [tex]cos(A)=\frac{12}{37}[/tex]

Step-by-step explanation:

We know that the sine function is defined as:

[tex]sin(\alpha)=\frac{Opposite}{Hypotenuse}[/tex]

In the same way the cosine function is defined as:

[tex]cos(\alpha)=\frac{adjacent}{Hypotenuse}[/tex]

Therefore it is fulfilled that:

Opposite: is the length of the side opposite angle

Adjacent: It is the length of the side that contains the angle of 90 ° and angle A

Hypotenuse: It is the length of the side opposite the angle of 90 °

So:

[tex]sin(A)=\frac{35}{37}[/tex]

[tex]cos(A)=\frac{12}{37}[/tex]

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