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What is the trigonometric ratio for sin C ?

Enter your answer, as a simplified fraction.

What is the trigonometric ratio for sin C ? Enter your answer, as a simplified fraction-example-1
User Gintautas
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1 Answer

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By definition we have to:
Sin (x) = C.O / h
Where,
x = angle
C.O = opposite leg
h: hypotenuse.
Substituting values we have:
Sin (C) = AB / 82
We should look for AB. For this, we use the following relationship:
AB ^ 2 + 80 ^ 2 = 82 ^ 2
Clearing AB:
AB = root ((82 ^ 2) - (80 ^ 2))
AB = 18
Substituting we have:
Sin (C) = 18/82
Simplifying:
Sin (C) = 9/41

Answer:
the trigonometric ratio for sin C is:
Sin (C) = 9/41
User Shadowxvii
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