Trigonometry Examples

$p (1) = \frac{1200}{1 + 11 e^{- 0.2 \cdot 60}}$

Step 1

Multiply $p$ by $1$ .

$p = \frac{1200}{1 + 11 e^{- 0.2 \cdot 60}}$

Step 2

Simplify $\frac{1200}{1 + 11 e^{- 0.2 \cdot 60}}$ .

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Step 2.1

Simplify the denominator.

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Step 2.1.1

Multiply $- 0.2$ by $60$ .

$p = \frac{1200}{1 + 11 e^{- 12}}$

Step 2.1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$p = \frac{1200}{1 + 11 \frac{1}{e^{12}}}$

Step 2.1.3

Combine $11$ and $\frac{1}{e^{12}}$ .

$p = \frac{1200}{1 + \frac{11}{e^{12}}}$

Step 2.1.4

Write $1$ as a fraction with a common denominator.

$p = \frac{1200}{\frac{e^{12}}{e^{12}} + \frac{11}{e^{12}}}$

Step 2.1.5

Combine the numerators over the common denominator.

$p = \frac{1200}{\frac{e^{12} + 11}{e^{12}}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$p = 1200 \frac{e^{12}}{e^{12} + 11}$

Step 2.3

Combine $1200$ and $\frac{e^{12}}{e^{12} + 11}$ .

$p = \frac{1200 e^{12}}{e^{12} + 11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = \frac{1200 e^{12}}{e^{12} + 11}$

Decimal Form:

$p = 1199.91890187 \dots$