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avanturin [10]
2 years ago
13

Check over my math please.

Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

It looks like everything is correct :)

Step-by-step explanation:

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D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

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According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

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Substituting into the Pythagoras firnuka we have

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r²cos²theta+r²sin²theta = r²

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(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

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Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

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