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Sophie [7]
3 years ago
7

A circle has the equation x^2−8y−6x+y^2=4.

Mathematics
1 answer:
mylen [45]3 years ago
8 0
Hello here is a solution :
x²-8y-6x+y²=4....(1)
A)
x²-6x = x²-2(3)x+9-9
         = x²-2(3)x+3²-9
x²-6x =(x-3)² -9
B)
y²-8y = y²-2(4)y +4²-16
y²-8y = (y-4)²-16
C)
in (1) :

(x-3)² -9 +(y-4)²-16 = 4
(x-3)² +(y-4)² = 29   ...<span>is the standard form of the equation

</span>   <span>Select answer 1 : 
</span><span>A: 3
B: 4
C: (x−3)2+(y−4)2=29</span>
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Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

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e^jθ = cosθ + jsinθ and

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Adding both equations, we have

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e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

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dividing through by 2 we have

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b. We know that

e^jθ = cosθ + jsinθ and

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Subtracting both equations, we have

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Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

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