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

Mathematics

2 answers:

34kurt3 years ago

6 0

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.

Deffense [45]3 years ago

3 0

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.

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After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a

lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p; $\sqrt{\frac{p(1-p)}{n} }$ )