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# What is cot of pi - pi over 4 given that tan of pi over 4 equals 1?

Wiki User

2017-05-06 06:57:10

First: note 3 things about cot and tan, and note the given statement:

1. cot = 1/tan
2. tan is cyclic with a period of Ï€, that is tan(nÏ€ + x) = tan(x)
3. tan is an odd function, that is tan(-x) = -tan(x)
4. tan(Ï€/4) = 1

Now apply them to the problem:

1. cot(Ï€ - Ï€/4) = 1/tan(Ï€ - Ï€/4)
2. = 1/tan(-Ï€/4)
3. = 1/-tan(Ï€/4)
4. = 1/-1 = -1

Thus:

cot(Ï€ - Ï€/4) = -1.

Wiki User

2017-05-06 06:57:10
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Wiki User

2017-05-05 12:19:42

Cot(pi - pi/4) = cot(3*pi/4) = -1