Trigonometry Examples

$y = - 2 \cot (x)$

Step 1

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

$- 2 \cot (x) = y$

Step 2

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

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Step 2.1

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

$\frac{- 2 \cot (x)}{- 2} = \frac{y}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 \cot (x)}{- 2} = \frac{y}{- 2}$

Step 2.2.1.2

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

$\cot (x) = \frac{y}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$\cot (x) = - \frac{y}{2}$

Step 3

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

$x = arccot (- \frac{y}{2})$