Trigonometry Examples

$\frac{\ln (2)}{12} = \frac{12 k}{12}$

Step 1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$\ln (2) = 12 k$

Step 2

Since $k$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$12 k = \ln (2)$

Step 3

Divide each term in $12 k = \ln (2)$ by $12$ and simplify.

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Step 3.1

Divide each term in $12 k = \ln (2)$ by $12$ .

$\frac{12 k}{12} = \frac{\ln (2)}{12}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $12$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{12 k}{12} = \frac{\ln (2)}{12}$

Step 3.2.1.2

Divide $k$ by $1$ .

$k = \frac{\ln (2)}{12}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Rewrite $\frac{\ln (2)}{12}$ as $\frac{1}{12} \ln (2)$ .

$k = \frac{1}{12} \ln (2)$

Step 3.3.2

Simplify $\frac{1}{12} \ln (2)$ by moving $\frac{1}{12}$ inside the logarithm.

$k = \ln (2^{\frac{1}{12}})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$k = \ln (2^{\frac{1}{12}})$

Decimal Form:

$k = 0.05776226 \dots$