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SashulF [63]
3 years ago
7

What is the value of cos(2npi)??

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0
The problem ask to calculate and find the value of cos(2npi). So base on the data you have given, we must follow the theories and rule of simplifying and calculating trigonometric expression, so base on that, the answer would be that the cos(2pi) is equals to 1 so the cos(2npi) if even =1 if odd =-1. I hope you are satisfied with my answer and feel free to ask for more 
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<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

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<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>

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Ratio=\frac{4\pi }{16} =0.7854.

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

c. Complete the table.

<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>

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Ratio: \frac{\pi}{4}.

<em>Do the same for all the other columns. </em>

<em>The answers to the table are presented on the attached image</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

d. What can you conclude about the relationship between the area of the circle and the square?

<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>

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