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Write the ratios for sin A and cos A.

Write the ratios for sin A and cos A.-example-1

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Answer: First Option


sin(A)=(35)/(37),
cos(A)=(12)/(37)

Explanation:

We know that the sine function is defined as:


sin(\alpha)=(Opposite)/(Hypotenuse)

In the same way the cosine function is defined as:


cos(\alpha)=(adjacent)/(Hypotenuse)

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:


sin(A)=(35)/(37)


cos(A)=(12)/(37)

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