Trigonometry Examples

$r \sin (x) = 4$

Step 1

Divide each term in $r \sin (x) = 4$ by $r$ and simplify.

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Step 1.1

Divide each term in $r \sin (x) = 4$ by $r$ .

$\frac{r \sin (x)}{r} = \frac{4}{r}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $r$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{r \sin (x)}{r} = \frac{4}{r}$

Step 1.2.1.2

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

$\sin (x) = \frac{4}{r}$

Step 2

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

$x = \arcsin (\frac{4}{r})$