Precalculus Examples

$\frac{1}{0.000013} \cdot \ln (\frac{1.225}{1100 (0.000013) \sin (12)})$

Step 1

Divide $1$ by $0.000013$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{1100 (0.000013) \sin (12)})$

Step 2

Separate fractions.

$76923.\overline{076923} \cdot \ln (\frac{1.225}{1100 (0.000013)} \cdot \frac{1}{\sin (12)})$

Step 3

Convert from $\frac{1}{\sin (12)}$ to $\csc (12)$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{1100 (0.000013)} \csc (12))$

Step 4

Multiply $1100$ by $0.000013$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{0.0143} \csc (12))$

Step 5

Divide $1.225$ by $0.0143$ .

$76923.\overline{076923} \cdot \ln (85.\overline{664335} \csc (12))$

Step 6

Evaluate $\csc (12)$ .

$76923.\overline{076923} \cdot \ln (85.\overline{664335} \cdot 4.80973434)$

Step 7

Multiply $85.\overline{664335}$ by $4.80973434$ .

$76923.\overline{076923} \cdot \ln (412.02269736)$

Step 8

Multiply $76923.\overline{076923}$ by $\ln (412.02269736)$ .

$463159.87988634$