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tatuchka [14]
3 years ago
6

In a dental clinic with one dentist, the average number of patients from time to time is 2. What is the dentist's expected idle

time each day?​
Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

Step-by-step explanation:

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Analyze this derivation of the tangent double angle identity. tan(2x) = tan (x + x) Equals StartFraction tangent (x) + tangent (
hammer [34]

The derivation steps and the reasons are:

  • \tan(2x) = \tan(x+x) -------- Addition
  • \tan(2x) = \frac{\tan(x) + \tan(x)}{1 - \tan(x) \tan(x)} --------- Tangent sum identity
  • \tan(2x) = \frac{\tan(x) + \tan(x)}{1 - \tan^2(x)} ------- Simplify

<h3>What is the tangent sum identity?</h3>

The tangent sum identity states that:

\tan(a + b) = \frac{\tan(a) + \tan(b)}{1 - \tan(a) \tan(b)}

To determine the derivation of tan(2x), we make use of the following steps.

Rewrite 2x as the addition of x and x.

So, we have:

\tan(2x) = \tan(x+x) --- step 1

Next, we apply the tangent sum identity.

Recall that:

\tan(a + b) = \frac{\tan(a) + \tan(b)}{1 - \tan(a) \tan(b)}

Substitute x for a and b.

So, we have:

\tan(2x) = \frac{\tan(x) + \tan(x)}{1 - \tan(x) \tan(x)} ---- step 2

Simplify the denominator

\tan(2x) = \frac{\tan(x) + \tan(x)}{1 - \tan^2(x)}

Hence, the result of the derivation is \tan(2x) = \frac{\tan(x) + \tan(x)}{1 - \tan^2(x)}

Read more about trigonometric identity at:

brainly.com/question/7331447

4 0
2 years ago
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