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zhuklara [117]
2 years ago
14

Find the measure of the reference angle for an 11 radian radian angle.

Mathematics
1 answer:
Vesnalui [34]2 years ago
4 0

Answer:

  about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

  ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

  ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

<h3>Application</h3>

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

  ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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1. A gambler makes 100 column bets at roulette. The chance of winning on any one play is 12/38. The gambler can either win $ 5 o
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Answer:

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E(X²) = (6/19)*5²  -  (13/19)*2²

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z = \frac{X - \mu}{\sigma}

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z = (1-0.209)/2.26

z = 0.35

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P(z >0.35) = 1 - 0.63683

P(z >0.35) = 0.36317

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3 years ago
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