Trigonometry Examples

$\sin (x) = \sqrt{\frac{5 - 1}{4}}$

Step 1

Simplify $\sqrt{\frac{5 - 1}{4}}$ .

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Step 1.1

Subtract $1$ from $5$ .

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

Step 1.2

Divide $4$ by $4$ .

$\sin (x) = \sqrt{1}$

Step 1.3

Any root of $1$ is $1$ .

$\sin (x) = 1$

Step 2

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

$x = \frac{π}{2} + 2 π n$ , for any integer $n$

Step 3