Precalculus Examples

$2 \arcsin (x) = π$

Step 1

Divide each term in $2 \arcsin (x) = π$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 \arcsin (x) = π$ by $2$ .

$\frac{2 \arcsin (x)}{2} = \frac{π}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 \arcsin (x)}{2} = \frac{π}{2}$

Step 1.2.1.2

Divide $\arcsin (x)$ by $1$ .

$\arcsin (x) = \frac{π}{2}$

Step 2

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

$x = \sin (\frac{π}{2})$

Step 3

Simplify the right side.

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Step 3.1

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

$x = 1$