06-07-2007, 01:49
Question 1.
How does the graph of cot x differ from -cot X, 4cot x, cot (x/4), cot (x-4), etc?
Solution 1.

Difference between cot x and -cot x: -cot x is the mirrored image of cot x.

Difference between cot x and 4cot x: 4cot x is steeper.

Difference between cot x and cot(x/4): The width of the period in cot (x/4) is wider.

Difference between cot x and cot(x-4): The graph of cot(x-4) is shifted to the right by 4. (phase displacement)
How does the graph of cot x differ from -cot X, 4cot x, cot (x/4), cot (x-4), etc?
Solution 1.

Difference between cot x and -cot x: -cot x is the mirrored image of cot x.

Difference between cot x and 4cot x: 4cot x is steeper.

Difference between cot x and cot(x/4): The width of the period in cot (x/4) is wider.

Difference between cot x and cot(x-4): The graph of cot(x-4) is shifted to the right by 4. (phase displacement)
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