Finite Math Examples

$\cot (h (8!))$

Step 1

Expand $8!$ to $8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$\cot (h (8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1))$

Step 2

Multiply $8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

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Step 2.1

Multiply $8$ by $7$ .

$\cot (h (56 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1))$

Step 2.2

Multiply $56$ by $6$ .

$\cot (h (336 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1))$

Step 2.3

Multiply $336$ by $5$ .

$\cot (h (1680 \cdot 4 \cdot 3 \cdot 2 \cdot 1))$

Step 2.4

Multiply $1680$ by $4$ .

$\cot (h (6720 \cdot 3 \cdot 2 \cdot 1))$

Step 2.5

Multiply $6720$ by $3$ .

$\cot (h (20160 \cdot 2 \cdot 1))$

Step 2.6

Multiply $20160$ by $2$ .

$\cot (h (40320 \cdot 1))$

Step 2.7

Multiply $40320$ by $1$ .

$\cot (h \cdot 40320)$

Step 3

Move $40320$ to the left of $h$ .

$\cot (40320 h)$