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irga5000 [103]
1 year ago
15

Show that tangent is an odd function.Use the figure in your proof.

Mathematics
1 answer:
svlad2 [7]1 year ago
7 0

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

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weqwewe [10]

Answer:

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Step-by-step explanation:

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3 years ago
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bekas [8.4K]

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

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3 years ago
HELP for (ii)…..how do we find a?
Mariana [72]

By using the information given on the graph, we can see that a = 3.

<h3>How to find the value of a?</h3>

Here we have an exponential of the form:

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2 years ago
In Devon's school, the morning session runs for a total of 182 minutes. The morning session
natima [27]

Answer:

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Equation:

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3 years ago
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sleet_krkn [62]

Hello!

Answer:

\huge\boxed{x = -32}

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8 0
3 years ago
Read 2 more answers
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