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Lana71 [14]
3 years ago
12

The empty boxes are where the answers need to go. Can anyone help?

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0
First two boxes...(a+c), b

second line box.....(a+c)/2

third line box ....b/2

this was a good question...a Little tricky !
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Kipish [7]
<h3>Answer:</h3>

x/tan(x) is an even function

sec(x)/x is an odd function

<h3>Explanation:</h3>

<em>x/tan(x)</em>

For f(x) = x/tan(x), consider f(-x).

... f(-x) = -x/tan(-x)

Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...

... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)

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_____

<em>sec(x)/x</em>

For g(x) = sec(x)/x, consider g(-x).

... g(-x) = sec(-x)/(-x)

Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...

... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)

The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.

6 0
3 years ago
Are the two triangles similar? Explain you reasoning and support your answer?
Anuta_ua [19.1K]

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by the side and letgh

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