Trigonometry Examples

$x = 15 \tan (30)$

Step 1

Simplify $15 \tan (30)$ .

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Step 1.1

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

$x = 15 \frac{\sqrt{3}}{3}$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Factor $3$ out of $15$ .

$x = 3 (5) \frac{\sqrt{3}}{3}$

Step 1.2.2

Cancel the common factor.

$x = 3 \cdot 5 \frac{\sqrt{3}}{3}$

Step 1.2.3

Rewrite the expression.

$x = 5 \sqrt{3}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 3