Trigonometry Examples

$\arcsin (y - \frac{π}{6}) = \frac{π}{6}$

Step 1

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

$y - \frac{π}{6} = \sin (\frac{π}{6})$

Step 2

Simplify the right side.

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Step 2.1

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$y - \frac{π}{6} = \frac{1}{2}$

Step 3

Add $\frac{π}{6}$ to both sides of the equation.

$y = \frac{1}{2} + \frac{π}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{2} + \frac{π}{6}$

Decimal Form:

$y = 1.02359877 \dots$