Trigonometry Examples

$\arcsin (x) = \frac{π}{4}$

Step 1

Take the inverse arcsine of both sides of the equation to extract $x$ from inside the arcsine.

$x = \sin (\frac{π}{4})$

Step 2

Simplify the right side.

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Step 2.1

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$x = \frac{\sqrt{2}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{\sqrt{2}}{2}$

Decimal Form:

$x = 0.70710678 \dots$