given that sin r= 28/53, what is cos R?
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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.
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.
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