Pre-Algebra Examples

cot (3 x)

$\cot (3 x)$ ,

x = \frac{2 π}{3}

$x = \frac{2 π}{3}$

Step 1

Replace the variable

x

$x$ with

\frac{2 π}{3}

$\frac{2 π}{3}$ in the expression.

cot (3 (\frac{2 π}{3}))

$\cot (3 (\frac{2 π}{3}))$

Step 2

Rewrite

cot (3 (\frac{2 π}{3}))

$\cot (3 (\frac{2 π}{3}))$ in terms of sines and cosines.

\frac{cos (3 \frac{2 π}{3})}{sin (3 \frac{2 π}{3})}

$\frac{\cos (3 \frac{2 π}{3})}{\sin (3 \frac{2 π}{3})}$

Step 3

Cancel the common factor of

3

$3$ .

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Step 3.1

Cancel the common factor.

$\frac{\cos (3 \frac{2 π}{3})}{\sin (3 \frac{2 π}{3})}$

Step 3.2

Rewrite the expression.

$\frac{\cos (3 \frac{2 π}{3})}{\sin (2 π)}$

Step 4

Subtract full rotations of

$2 π$ until the angle is greater than or equal to

$0$ and less than

$2 π$ .

$\frac{\cos (3 \frac{2 π}{3})}{\sin (0)}$

Step 5

The exact value of

$\sin (0)$ is

$0$ .

$\frac{\cos (3 \frac{2 π}{3})}{0}$

Step 6

The expression contains a division by

$0$ . The expression is undefined.

Undefined

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