Trigonometry Examples

$\cot (30) = \frac{a}{21}$

Step 1

Rewrite the equation as $\frac{a}{21} = \cot (30)$ .

$\frac{a}{21} = \cot (30)$

Step 2

Multiply both sides of the equation by $21$ .

$21 \frac{a}{21} = 21 \cot (30)$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $21$ .

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Step 3.1.1.1

Cancel the common factor.

$21 \frac{a}{21} = 21 \cot (30)$

Step 3.1.1.2

Rewrite the expression.

$a = 21 \cot (30)$

$a = 21 \cot (30)$

$a = 21 \cot (30)$

Step 3.2

Simplify the right side.

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Step 3.2.1

The exact value of $\cot (30)$ is $\sqrt{3}$ .

$a = 21 \sqrt{3}$

$a = 21 \sqrt{3}$

$a = 21 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = 21 \sqrt{3}$

Decimal Form:

$a = 36.37306695 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$