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Crank
3 years ago
5

For which value of theta is cot (theta) undefined?

Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0

The answer is B. 180

sattari [20]3 years ago
6 0

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.


\cot(x) = \frac{\cos(x)}{\sin(x)}


Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.


Let's look at your option:


\sin(90^\circ) = 1, so the cotangent is defined here


\sin(180^\circ) = 0, so the cotangent is not defined here


\sin(270^\circ) = -1, so the cotangent is defined here


\sin(450^\circ) = \sin(360^\circ+90^\circ)=\sin(90^\circ) = 1, so the cotangent is defined here

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