Mathematics: What is the probability pr of rolling at least one 6 in roles of a dice?

The reference angle for is . Recall that This implies that Recall also from triangle that and also since is the in the second quadrant, the tangent ratio is negative.Putting all together we haveRationalizing the denominator gives...

What is the probability pr of rolling at least one

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renee9913

20.02.2021

Mathematics

The reference angle for $120\degree$ is $60\degree$ .

Recall that $cot(120\degree) = \frac{1}{tan(120\degree)}$

This implies that $cot(120\degree) = \frac{1}{tan(60\degree)}$

Recall also from $30\degree - 60\degreee - 90\degree$ triangle that

$tan(60\degree)=\sqrt(3)$ and also since $120\degree$ is the in the second quadrant, the tangent ratio is negative.

Putting all together we have

$cot(120\degree) = \frac{1}{-\sqrt(3)}$

Rationalizing the denominator gives

$cot(120\degree) = \frac{-\sqrt(3)}{3}$

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What is the probability pr of rolling at least one 6 in roles of a dice?

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