Question

Which of the following trigonometric ratios has a value that is undefined?

Answer 1

Answer:

csc π.

Step-by-step explanation:

csc π  because  csc = hypotenuse / opposite side  and the opposite side = 0. Anything divided by zero is undefined.

Another way to the same conclusion is:  we know that sin π = 0 and csc π = 1 / sin π = 1 / 0  which is indeterminate.

Answer 2

Answer:

cosec$\pi$

Step-by-step explanation:

Only two function cosec$\pi$ and cot$\pi$ of the five trigonometric function are undefined .

From the given option cosec$\pi$ is undefined as we know that

sin$\pi$ =0 and cosec is inverse of sin. So,

$cosec \pi =\frac{1}{sin\pi }\\cosec \pi =\frac{1}{0} (sin \pi =0)\\ cosec \pi=$ which is undefined.