one digit from the number 9,484,558 is written on each of seven cards. what is the probability of drawing a card that shows 5?

1 answer:

4 0

Possibility or highly chances are that the five is going to get pulled because there are two of the fives and five isn't rare, so from the number 9,484,558 the number that would possibly be picked is one of the fives because there are two of the fives and five isn't rare if there is two of them, so the digit that would probably be pulled is one of the fives

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(cot theta + cosec theta)/(cosec theta (1 + (cot theta/ cosec theta)).

Margarita [4]

The given expression $\dfrac{\frac{cos \theta}{sin \theta} + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1$ is true

<h3>Proving trigonometry identity</h3>

Given the expression

$\frac{cot \theta + cosec \theta}{cosec \theta(1+\frac{cot \theta}{cosec \theta} )} =1$

Note that:

cotθ = cosθ/sinθ
cosecθ = 1/sinθ

Substituting the given parameters into the formula;

$\frac{\frac{cos \theta}{sin \theta} + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1$

Find the LCM of both the numerator and denominator

$= \dfrac{\frac{cos \theta + 1}{sin \theta} }{(\frac{1+cos \theta}{sin \theta} )}\\$

Divide the result to have:

$= \frac{1+cos \theta}{sin \theta} \times \frac{sin \theta}{1+cos \theta}\\ = \frac{1}{1}\\ = 1 (Proved)$

Learn more on proofs of trigonometry identity here: brainly.com/question/7331447

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