Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
Then in the equation
1 - cos(<em>x</em>) = 2 - 2 sin²(<em>x</em>)
we can rewrite as
1 - cos(<em>x</em>) = 2 (1 - sin²(<em>x</em>))
1 - cos(<em>x</em>) = 2 cos²(<em>x</em>)
2 cos²(<em>x</em>) + cos(<em>x</em>) - 1 = 0
Factorize the left side as
(2 cos(<em>x</em>) - 1) (cos(<em>x</em>) + 1) = 0
so that
2 cos(<em>x</em>) - 1 = 0 <u>or</u> cos(<em>x</em>) + 1 = 0
cos(<em>x</em>) = 1/2 <u>or</u> cos(<em>x</em>) = -1
On the interval (-<em>π</em>, <em>π</em>) (note that this interval is open, so we don't allow <em>x</em> = <em>π</em>), we have
• cos(<em>x</em>) = 1/2 for <em>x</em> = <em>π</em>/3 and <em>x</em> = -<em>π</em>/3
• cos(<em>x</em>) = -1 for <em>x</em> = <em>π</em>
The area of the portion of S lying outside R is 63xy
<h3>What is a Rectangle ?</h3>
A rectangle is a polygon with four sides , four angles and four vertices , It has opposite sides parallel and equal.
It is given in the question that
A rectangle R has width x and length y.
A rectangle S is formed from R by multiplying each of the sides of rectangle R by 8
Area of R is xy
Area of S is 8x * 8y = 64xy
The area of the portion of S lying outside = 64xy - xy = 63xy
To know more about Rectangle
brainly.com/question/15019502
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The probability of having at least 4 girls is 0.1875.
Answer:
c. (6,1)
Step-by-step explanation:
Add both x and both y (11+1)=12 (5+-3)=2 then divide both by 2
(6,1)
To find the missing values you need to understand that the reciprocal is the fraction that is created when you invert (flip) The fraction.
Using this we actually have the missing values in the other fraction.
Please see the attached picture for the 3 missing values. They are in the boxes.
