Trigonometry Examples

$\sin (x) = \frac{\sqrt{24}}{9}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $24$ as $2^{2} \cdot 6$ .

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Step 1.1.1

Factor $4$ out of $24$ .

$\sin (x) = \frac{\sqrt{4 (6)}}{9}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$\sin (x) = \frac{\sqrt{2^{2} \cdot 6}}{9}$

Step 1.2

Pull terms out from under the radical.

$\sin (x) = \frac{2 \sqrt{6}}{9}$

Step 2

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

$x \approx 0.57559147 + 2 π n, 2.56600118 + 2 π n$ , for any integer $n$

Step 3