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Anni [7]
3 years ago
14

Using the until circle, what is the exact value of tan 2pi/3

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0
<h2>Answer:</h2>

The exact value for the expression \tan (\dfrac{2\pi}{3}) is:

                      \tan (\dfrac{2\pi}{3})=-\sqrt{3}

<h2>Step-by-step explanation:</h2>

We are asked to find the exact value of the given trigonometric expression.

The expression is given as:

           \tan (\dfrac{2\pi}{3})

This could also be written as follows:

              \tan (\dfrac{2\pi}{3})=\tan (\pi-\dfrac{\pi}{3})

Now, we know that:

\tan (\pi-\dfrac{\pi}{3})=-\tan (\dfrac{\pi}{3})

Also, we have:

\tan (\dfrac{\pi}{3})=\sqrt{3}

Hence, we finally have:

              \tan (\dfrac{2\pi}{3})=-\sqrt{3}

Klio2033 [76]3 years ago
7 0
Tan 2 pi/3= (sin2pi/3)/(cos2pi/3)= (sqrt 3)/2 dividend by (-1/2)= - sqrt 3
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SOMEONE PLEASE PLEASE HELP
fomenos
Answer is x7 becuse i found it
3 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
2 years ago
What is the slope of the line on the graph?<br> The two coordinates are ( 3, -3) and ( 0, -1 )
Drupady [299]

Answer:

The slope is -2/3.

Step-by-step explanation

Let m represent the slope.

m= rise/run= y2-y1/x2-x1

-1 - (-3)/0-3

2/-3

-2/3

3 0
2 years ago
Read 2 more answers
What is 2 1/8 + 4 2/3 simplified
lesya [120]

Answer: 5 7\8


Step-by-step explanation:


7 0
3 years ago
A linear function is graphed below.
Evgen [1.6K]

Answer:

-1\frac{1}{2}

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\frac{y^2-y^1}{x^2-x^1}}

To understand what the variables are, you can take this :

(x^1,y^1)

(x^2,y^2)

Substitute the points :

(-1,4)

(5,-5)

Now substitute it into the formula :

\frac{-5-4}{5-(-1)}

\frac{-3}{2}

-1\frac{1}{2}

4 0
3 years ago
Read 2 more answers
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