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Find the sin with only the Cos (Cos=12/20)

1 Answer

3 votes

Answer:

sin =
(16)/(20)

Explanation:

given

cos =
(12)/(20) =
(adjacent)/(hypotenuse)

this is a right triangle with hypotenuse = 20 and adjacent = 12

using Pythagoras' identity to find the side opposite (opp ) , then

opp² + 12² = 20²

opp² + 144 = 400 ( subtract 144 from both sides )

opp² = 256 ( take square root of both sides )

opp =
√(256) = 16

then

sin =
(opposite)/(hypotenuse) =
(16)/(20)

User Hyunjung
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