Trigonometry Examples

$\arcsin (x) = \frac{π}{3}$

Step 1

Take the inverse arcsine of both sides of the equation to extract

$x$ from inside the arcsine.

$x = \sin (\frac{π}{3})$

Step 2

Simplify the right side.

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Step 2.1

The exact value of

$\sin (\frac{π}{3})$ is

$\frac{\sqrt{3}}{2}$ .

$x = \frac{\sqrt{3}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{\sqrt{3}}{2}$

Decimal Form:

$x = 0.86602540 \dots$