Respuesta :

Answer:

45/53

Step-by-step explanation:

SinR is opposite side's length divided by the hypotenuse. That means that the hypotenuse is 53 units, and the opposite side (the shorter-looking) is 28 units.

By the pythagorean theorem, that means the longer-looking one is √(53² - 28²) = 45 units long.

CosR is the adjacent side'd length divided by the hypotenuse. That means that is is 45/53.

The value of the cosR is 45/53 if the value of sinR= 28/53 after applying the Pythagoras theorem.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

sinR = 28/53

Sin is the ratio of opposite to hypotenuse.

The length of the adjacent side from the Pythagoras theorem:

Adjacent side length = √(53²-28²) = 45 units

corR = 45/53

Because, cos is the ratio of adjacent to hypotenuse.

Thus, the value of the cosR is 45/53 if the value of sinR= 28/53 after applying the Pythagoras theorem.

Learn more about trigonometry here:

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