Trigonometry Examples

$y = \sin (\frac{x}{10})$

Step 1

Rewrite the equation as $\sin (\frac{x}{10}) = y$ .

$\sin (\frac{x}{10}) = y$

Step 2

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

$\frac{x}{10} = \arcsin (y)$

Step 3

Multiply both sides of the equation by $10$ .

$10 \frac{x}{10} = 10 \arcsin (y)$

Step 4

Simplify the left side.

Tap for more steps...

Step 4.1

Cancel the common factor of $10$ .

Tap for more steps...

Step 4.1.1

Cancel the common factor.

$10 \frac{x}{10} = 10 \arcsin (y)$

Step 4.1.2

Rewrite the expression.

$x = 10 \arcsin (y)$