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tigry1 [53]
3 years ago
11

What is the value of y?

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

y = 226°

Step-by-step explanation:

Circle Geometry Theorem: Angle at the centre of a circle is twice the size of the angle at the circumference.

113° × 2 = y

226° = y

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The question states:

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This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

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=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

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cos(Θ) = \sqrt{15} /4.

And that is the answer.
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