Trigonometry Examples

$y = \sin (- x)$

Step 1

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

$\sin (- x) = y$

Step 2

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

$- x = \arcsin (y)$

Step 3

Divide each term in $- x = \arcsin (y)$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = \arcsin (y)$ by $- 1$ .

$\frac{- x}{- 1} = \frac{\arcsin (y)}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{\arcsin (y)}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{\arcsin (y)}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative one from the denominator of $\frac{\arcsin (y)}{- 1}$ .

$x = - 1 \cdot \arcsin (y)$

Step 3.3.2

Rewrite $- 1 \cdot \arcsin (y)$ as $- \arcsin (y)$ .

$x = - \arcsin (y)$