Precalculus Examples

$\frac{1}{0.000013} \cdot \ln (\frac{1.225}{(3) \cdot (1100 (0.000013) \sin (12))})$

Step 1

Divide $1$ by $0.000013$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{(3) \cdot (1100 (0.000013) \sin (12))})$

Step 2

Separate fractions.

$76923.\overline{076923} \cdot \ln (\frac{1.225}{(3) \cdot (1100 (0.000013))} \cdot \frac{1}{\sin (12)})$

Step 3

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

$76923.\overline{076923} \cdot \ln (\frac{1.225}{(3) \cdot (1100 (0.000013))} \csc (12))$

Step 4

Simplify the denominator.

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Step 4.1

Multiply $3$ by $1100$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{3300 \cdot 0.000013} \csc (12))$

Step 4.2

Multiply $3300$ by $0.000013$ .

$76923.\overline{076923} \cdot \ln (\frac{1.225}{0.0429} \csc (12))$

Step 5

Divide $1.225$ by $0.0429$ .

$76923.\overline{076923} \cdot \ln (28.\overline{554778} \csc (12))$

Step 6

Evaluate $\csc (12)$ .

$76923.\overline{076923} \cdot \ln (28.\overline{554778} \cdot 4.80973434)$

Step 7

Multiply $28.\overline{554778}$ by $4.80973434$ .

$76923.\overline{076923} \cdot \ln (137.34089912)$

Step 8

Multiply $76923.\overline{076923}$ by $\ln (137.34089912)$ .

$378651.24229649$