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Simora [160]
2 years ago
6

If cos8x = 13/36 find the value of cos4x.​

Mathematics
1 answer:
Elina [12.6K]2 years ago
3 0

The value of cos 4x from the given identity is 0.999

<h3>Trigonometry identity</h3>

Given the cosine identity

cos8x = 13/36

Determine the value of x

8x = arccos(13/36)
8x = 0.36111

x = 0.36111/8
x = 0.04514

Determine the value of cos4x

cos4x = cos4(0.04514)

cos4(0.04514) = 0.999

Hence the value of cos 4x from the given identity is 0.999

Learn more trig identity here; brainly.com/question/7331447

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Answer:

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Step-by-step explanation:

The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.

In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.

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The water content of soil from a borrow site is normally distributed with a mean of 14% and a standard deviation of 2.5%. What i
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Answer:

0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14%

Standard Deviation, σ = 2.5%

We are given that the distribution of water content of soil is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(water content above 16% or below 12%)

= 1 - P(water content between 12% and 16%)

=1 - P(12 \leq x \leq 16) =1 - P(\displaystyle\frac{12 - 14}{2.5} \leq z \leq \displaystyle\frac{16-14}{2.5})\\\\=1 - (P(-0.8 \leq z \leq 0.8))\\\\=1 -(P(z \leq 0.8) - P(z < -0.8))\\=1-( 0.788 -0.212) = 0.424 = 42.4\%

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