Precalculus Examples

$\cot (\frac{- 3 π}{12})$

Step 1

Cancel the common factor of $- 3$ and $12$ .

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Step 1.1

Factor $3$ out of $- 3 π$ .

$\cot (\frac{3 (- π)}{12})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $12$ .

$\cot (\frac{3 (- π)}{3 (4)})$

Step 1.2.2

Cancel the common factor.

$\cot (\frac{3 (- π)}{3 \cdot 4})$

Step 1.2.3

Rewrite the expression.

$\cot (\frac{- π}{4})$

Step 2

Move the negative in front of the fraction.

$\cot (- \frac{π}{4})$

Step 3

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\cot (\frac{7 π}{4})$

Step 4

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant.

$- \cot (\frac{π}{4})$

Step 5

The exact value of $\cot (\frac{π}{4})$ is $1$ .

$- 1 \cdot 1$

Step 6

Multiply $- 1$ by $1$ .

$- 1$