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Gennadij [26K]
3 years ago
15

Choices:

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0

<u>Quadrants: </u>

Top right- Quadrant I

Top left- Quadrant II

Bottom right- Quadrant IV

Bottom left- Quadrant III

<u>Number answers:</u>

1- Y-axis

2- x-axis

3- orgin

-----------------

I hope this was helpful, have a good day!

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4 years ago
Cos^2 x+4sin^2 x/2=1
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Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2

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\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}

6 0
3 years ago
Suppose that P(A) = 0.97. Which of the following is the best interpretation of this statement?
storchak [24]

We have that This equation simply state that P as a Function of A is equal to 0.97

From the question we are told that

P(A) = 0.97.

Generally

This equation simply state that P as a Function of A is equal to 0.97

i.e P is a Constant equation and A is a variable that changes P to 0.97

For more information on this visit

brainly.com/question/23366835?referrer=searchResults

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