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Analyze the diagram below and complete the instructions that follow.

Find the exact value of sin(O)

Analyze The Diagram Below And Complete The Instructions That Follow Find The Exact Value Of SinO class=

Sagot :

Answer:  C) 12/13

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Explanation:

Use the pythagorean theorem

a^2+b^2 = c^2

to find that c = 13 when a = 12 and b = 5.

So that makes the hypotenuse MO = 13 units long.

The opposite side is MN = 12 units long as this side is furthest we can get from angle O.

The sine ratio involves opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(O) = MN/MO

sin(O) = 12/13

Answer:

C.    12/13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 =  c²

c = 13

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sin = opp/hyp

sinO = 12/13

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