Trigonometry Examples

$y = 2 \sin (x)$

Step 1

Rewrite the equation as $2 \sin (x) = y$ .

$2 \sin (x) = y$

Step 2

Divide each term in $2 \sin (x) = y$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 \sin (x) = y$ by $2$ .

$\frac{2 \sin (x)}{2} = \frac{y}{2}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{2 \sin (x)}{2} = \frac{y}{2}$

Step 2.2.1.2

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

$\sin (x) = \frac{y}{2}$

Step 3

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

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