Suppose Cosine (x) = StartFraction 1 Over StartRoot 5 EndRoot EndFraction and sin(x) > 0. What is the value of tan(2x)? NOWw

Answers

Answer 1

Answer:

C. 4/3

Step-by-step explanation:

Answer 2

The value of tan(2x) is -4/3

What is double angle formula for tan?

Let, 'm' be an angle then the double angle formula of tan is,

[tex]tan(2m)=\frac{2~tan(m)}{1-tan^{2}m }[/tex]

For given example,

We have cos(x) = 1/√5 and sin(x) > 0

We know, sin^2(x) + cos^(x) = 1

⇒ sin^2(x) = 1 - (1/√5)^2

⇒ sin^2(x) = 1 - (1/5)

⇒ sin^2(x) = 4/5

⇒ sin(x) = ± 2/√5

But sin(X) > 0

sin(x) = 2/√5

We know, for any angle Ф,

tan(Ф) = sin(Ф) / cos(Ф)

Hence, tan(x) = sin(x)/cos(x)

tan(x) = (2/√5) / (1/√5)

⇒ tan(x) = 2/1

⇒ tan(x) = 2

Now, using the double angle formula for tan,

[tex]\Rightarrow tan(2x)=\frac{2~tan(x)}{1-tan^{2}x }\\\\\Rightarrow tan(2x)=\frac{2\times 2}{1-(2)^{2}}\\\\ \Rightarrow tan(2x)=\frac{4}{1-4}\\\\ \Rightarrow \bold{tan(2x)=-\frac{4}{3}}[/tex]

Therefore, the value of tan(2x) is -4/3

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Related Questions

Emily bought 24 cans of soup for $54. Who paid the same price per can as Emily?
A) Candace bought 12 cans of soup for $26.
B) Ben bought 8 cans of soup for $18.
C) Raul bought 3 cars of soup for $6.
D) Devon bought 6 cans of soup for $14

Answers

Answer:

B

Step-by-step explanation:

as 18 divided by 8 is 2.25

and 54 divided by 24 is 2.25

The required only Ben paid the same price per can as Emily, which is $2.25. Option B is correct.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

To find out who paid the same price per can as Emily, we need to find the price per can for each option and compare it to Emily's price per can.

Emily's price per can:

$54 ÷ 24 = $2.25

Option A:

Candace bought 12 cans of soup for $26.

Price per can:

$26 ÷ 12 = $2.17

Similarly,

Option B:

Price per can = $2.25

Option C:

Price per can = $2.00

Option D:

Price per can = $2.33

We can see that only Ben paid the same price per can as Emily, which is $2.25.

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Al llegar al hotel nos han dado un mapa con los lugares de interés de la ciudad, y nos han dicho que 5 centímetros del mapa representan 600 metros de la realidad. Hoy queremos ir a un parque que se encuentra a 8 centímetros del hotel en el mapa. ¿A qué distancia del hotel se encuentra este parque?

Answers

Answer:

La distancia real entre el hotel y el parque es 960 metros.

Step-by-step explanation:

Este es un caso de factor de escala, donde 5 centímetros en el mapa equivalen a 600 metros a escala real. Por tanto, la distancia entre el parque y el hotel en el mapa halla su equivalente mediante la siguiente regla de tres simple:

[tex]x = \frac{600\,m}{5\,cm}\times 8\,cm[/tex]

[tex]x = 960\,m[/tex]

La distancia real entre el hotel y el parque es 960 metros.

Please help asap! I need an answer for this

Answers

Your answer to this question will be true
The answer is false.

Anyone know the movie queen of the south well i wanna be Teresa shes so powerful
156 divided by 4

Answers

Answer:

39

Step-by-step explanation:

Answer:

thats the cheap version of la reina del sur

a mexican series

(Question Attached) Multiple Choice

A.) 6.25
B.) 6
C.) 5.5
D.) 5.75

Answers

Answer: c

Step-by-step explanation:

Answer:

C. The only way I know is I had a problem like that recently.

Stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases are known as: Multiple Choice Small capital stocks. Mid capital stocks. Growth stocks. Large capital stocks. Income stocks.

Answers

Answer:

Growth stocks.

Step-by-step explanation:

Growth stocks are stocks that pay little or no cash dividends but are attractive to investors.

Given that,
To determine the stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases.

What is the investment?

Investment is defined as when an individual is spend their money on something that returns him or her higher money than the money they invest.

Here,
In the stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases are known as growth stocks.

Thus, growth stocks are stocks that pay little or no cash dividends but are attractive to investors.

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Brainliest to the person who answers correctly and not a dumb answer to get points.
Milan went to a baseball game. The game started at 11:35 am, and it was 3 hours 47 minutes long. When did the game end?

Answers

Answer: The game ended at 3:22 PM

11:35 + 3 hours is 2:35. Add that to 47 minutes, it's 82. Since there's 60 minutes in one full hour, you subtract 82 by sixty, and you get 22. So, it ended at 3:22 PM

Answer:

3:22. So first I turned the hours of 3 hours and 47 minutes into minutes which is 277 minutes then I added.

HELP HELP HELP HELP GFG

Answers

Answer:

y=mx + b

the slope is -3,2

y= -0.67x + 5

this is what. i got i could be wrong, sorry if i am

Step-by-step explanation:

Ashley and Becky both start jogging at the same point along a path in the park. It takes Ashley 12 minutes to jog one complete lap along the path, and it takes Becky 8 minutes to jog one complete lap along the path. After how many minutes will Ashley and Becky both be at their starting point on the path again?

Answers

Answer:

24 minutes

Step-by-step explanation:

Given

Ashley = 12 minutes

Becky = 8 minutes

Required

Determine when they will be at the same point again

To do this, we simply determine the least common factor of both.

Ashley = 12, 24, 36, 48....

Becky = 8, 16, 24, 32........

From above, the least common factor is 24

Hence, both of them will be at the starting point in 24 minutes

Need help ASAP!! Which is an appropriate statement about angles 3 and 4 in the diagram below?

A.) m∠3 + m∠4 = 180
B.) Angles 3 and 4 are complementary
C.) ∠3 ≅ ∠4
D.) m∠3 > m∠4

Answers

Answer:

A

Step-by-step explanation:

As we can see, both <3 and<4 lie on the line T so that means that their sumw ould equal 180 degrees.

Tell me if you still don't understand.

Angle 3 and 4 are complementary angles as their sum is 180 degrees. Option B is correct.

What is the complementary angle?

When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

In the given figure we can see that the segment s is cutting the segment l at some point so angle 3 and angle 4 are forming the complementary angles. It means that the sum of the angles will be 180.

Therefore, angles 3 and 4 are complementary angles as their sum is 180 degrees. Option B is correct.

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Trapezoid JKLM with vertices J(-6, 6), K(-3, 7),
L(-1, 3), and M(-8, 0): (x, y) = (x + 7, y - 3)

Answers

Answer:

[tex]J' =(1, 3)[/tex]

[tex]K' = (4,4)[/tex]

[tex]L' = (6,0)[/tex]

[tex]M' = (-1,-3)[/tex]

Step-by-step explanation:

Given

[tex]J = (-6,6)[/tex]

[tex]K = (-3,7)[/tex]

[tex]L= (-1,3)[/tex]

[tex]M = (-8,0)[/tex]

Transformation: [tex](x,y) = (x+7,y-3)[/tex]

This means that, we add 7 to the x coordinate and subtract 3 from the y coordinate.

For J, we have:

[tex]J = (-6,6)[/tex]

[tex]J' =(-6 + 7, 6 - 3)[/tex]

[tex]J' =(1, 3)[/tex]

For K, we have:

[tex]K = (-3,7)[/tex]

[tex]K' = (-3+7,7-3)[/tex]

[tex]K' = (4,4)[/tex]

For L, we have:

[tex]L= (-1,3)[/tex]

[tex]L' = (-1 + 7,3-3)[/tex]

[tex]L' = (6,0)[/tex]

For M, we have:

[tex]M = (-8,0)[/tex]

[tex]M' = (-8+7,0-3)[/tex]

[tex]M' = (-1,-3)[/tex]


A line passes through the point (-9,-8)
and is parallel to the graph y = - 4x + 4.
Write the equation that would represent
this line.

Answers

Answer:

y = -4x - 44

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given equation: y = -4x + 4

Given point: (-9, -8)

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b).

When two lines are parallel, their slopes are the same. Since the slope of the given line is -4, then the slope of the line parallel to it is also -4.

Now that we know the slope of the line, input the values of the slope and the given point into the equation format and solve for b:

y = mx + b

-8 = -4(-9) + b

-8 = 36 + b

Subtract 36 from both sides of the equation to isolate b:

-8 - 36 = 36 - 36 + b

-44 = b

The y-intercept is -44.

Now that we know the slope and the y-intercept, we can write the equation:

y = -4x - 44

Can someone help with this problem?

Answers

Answer:

the awnser is 8 would you want me to do an explanation also?

Simplify: 5c + 7d - 2c -3d

Answers

Answer:

3c+4d

Step-by-step explanation:

5c-2c=3c

7d-3D=4d

3c+4d

The answer is 3D+4d I hope that this helps you

Write an equation of the line in point-slope form that passes through the given points (-3,2) (5,5)

Answers

I think it is: y=0.375x+3.125

a=(5-2)/(5- -3)=3/8=0.375

Find b

(5)=0.375(5)+b
(5)=1.875+b
5-1.875=b
b=3.125

So yeah this is a retake

Answers

The first is (x + 3, y + 2)

convert the following equation into slope-intercept form:
-6x + y = 12

Answers

Answer:

y=6x+12

Step-by-step explanation:

Hope this helps!

Answer:

y = 6x + 12

That should be it.

6. Cindy is 2 years older than Marie. Their ages total 30 old is each person?​

Answers

Answer:

huh? no they cant both be 30 at the same time is cindy is 2 years older than marie....

Step-by-step explanation:

20 1/4% of 3
with work plz thx

Answers

Answer:

0.6075

Step-by-step explanation:

Assuming that it is '20 1/4' as said:

20 1/4 = 20.25

(20.25) * 3 = 0.6075

Hope this helps.

Create the graph of g(x) on a new set of axes using the graphs of a(x) and d(x). Label your scale and axes.

Answers

Answer:

I honestly don't know

Step-by-step explanation:

8182i2o2o

828262781

Solve 21.85 x (-6.2)

Answers

Answer:

= −135.47x

Step-by-step explanation:

^^^^^^^^^^^^^^^

HELP ASAP !! A system of linear equations is shown below.



2x – 3y = 17
–3x + y = –1

Choose a method (Elimination or Substitution) to solve the system of equations. Solve and explain your process.





Academic Language:

Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.

Answers

Answer:

x= -2, y= -7

Step-by-step explanation:

(Solve for y)

-3x+y=-1

1. add 3x to both sides

y=3x-1

(Substitute y=3x-1 into 2x-3y=17)

1. 2x-3(3x-1)=17

2.Simply it (Distributive Property)

3. -7x+3=13

(Solve for x)

1. Subtract 3 from both sides

2.  Divide both sides by -7

3. x=-2

(Substitute x=-2 into y=3x-1)

1.  y= 3 x -2-1

2. y= -7

Therefore ,

x= -2

and

y= -7

Garrett was given a sculpture that needs to have lights put around the outside only. How many inches of lights will be needed?

Answers

Answer:

204 in

Step-by-step explanation:

I can't really explain this other than that you have to add all the sides and the outside of this shape. For the hypotenuse you use the formula [tex]a^2+b^2=c^2[/tex]. Now just fill in what you know.

[tex]12^2+9^2=x^2\\144+81=x^2\\225=x^2\\x=15[/tex]

So we have:

length: 12in

base: 9in

hypotenuse: 15in

So now we do 12+15+9+15+12+15+9+15+12+15+9+15+12+15+9+15. Once we do all that we get 204 in.

Given triangle ABC with AB = 3 , BC = 5 , and CA = 6 . X is the midpoint of AC and is the midpoint of CB. What is the relationship between XY and AB?
A) congruent
B) parallel
C) perpendicular
D) similar

Answers

parallel accroding to the mid point theorems.

Katya has several sources of income, listed in the table. Which are considered earned income? *****Select all that apply.******

$150 she earned from her website's ad revenue

$80 she received from an investment

2% commission on all sales

$250 per month child support

$1300 per month salary

Answers

Answer: $1300 per month salary

2% commission on all sales

The considered income is 2% commission on all sales

$1300 per month salary

What is income?

Income is the money received by a person (individuals or business) periodically on daily, weekly, monthly, or yearly basis. Income includes monetary as well as non-monetary values of allowances and perquisites. All income is taxable under income tax unless expressly exempted.

Income includes

(i) Salary

(ii) Profits and Gains from business and profession

(iii) Dividends

(iv) Voluntary contributions made by trusts, charitable institutions created wholly or partly for charitable or religious purposes

(v) Perquisites

(vi) Special or other allowances

(vii) Any sum paid by the company to the assessee in the form of interest (viii) Capital gains

(ix) Income from other sources.

As per the situation given we have to find the earned income statement.

The statements which are showing the earned income statement is

$1300 per month salary

2% commission on all sales

All the other statement aren't the income statement. These statements are showing money from some other Organization.

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What is the GCF for each set of numbers 15 and 35. show ur work

Answers

15
3 x 5 or 5 x 3
35
5 x 7 or 7 x 5
So the answer is 5
GCF= 5
Factors of 15: 1,3,5,15, Factors of 35: 1,5,7,35

answer with the correct answer please6

Answers

Answer:

The slope of the line would be 1/3. The line is going up 1 unit and right 3 units.

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 5, 10, 7, 2 Set 2: 5, 10, 7, 42 The MAD of set 1 is 10.5 more than the MAD of set 2. The MAD of set 1 is 2.5 more than the MAD of set 2. The MAD of set 1 is 10.5 less than the MAD of set 2. The MAD of set 1 is 2.5 less than the MAD of set 2.

Answers

Answer:

7,9,10

Step-by-step explanation:

Answer: The answer is C

The MAD of set 1 is 10.5 less than the MAD of set 2

Step-by-step explanation:

I took the test and got it right

7X+9= - 75
Find out X​

Answers

Answer:

x= -12

Step-by-step explanation:

7x + 9=-75

     -9 = -75

  7x =  -84

Please help me! If I fail math my parents will get so mad.

Answers

Answer:

the allele for unattached earlobes is dominant over the allele for attached earlobes. In a population if “500 individuals”, 25 percent show the recessive phenotype. How many individuals would you expect to be heterozygous for this trait?

possible answers:

• 75

•125

•200

•25

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