Find the exact values of cos 2x and tan 2x if sin x =4/5 and x is a quadrant II angle.

Answers

Answer 1

Answer:

Step-by-step explanation: 3-4-5 triangle

If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3   x is approximately 126.87°

cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25

tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)

tan2x =  (-8/3) • (-9/7) = 72/21 = 24/7


Related Questions

Anyone able to help?!

Answers

[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]

Brainiest fastest answer no link or bot or I report you I report you if you report me

Answers

38.793053.63904.782544.69226.19402.121072.331526.8128.73113.13801.33268.082094.475.494.2537.71884.962065.2419861.71385.44287.984.193619.11113.150.27

I did this really quick so I hope all the answers are right, and double check them if you have time just in case

pa sagot po ty po sa sasagot ​

Answers

Answer:

An account-ant

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]

WILL MARK BRAINLIEST IF CORRECT PLS HELP ​

Answers

The answer is B

A proper ratio table would be the same ratio in every row

1:4 is the start
3:12 can simplify to 1:4
6:24 can simplify to 1:4

2. Solve for x: 2(x - 5) = x + 3(x + 2)​

Answers

Answer:

x=-8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!

Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?​

Answers

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

Therefore,

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

Substitute

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Learn more here:

https://brainly.com/question/15234579

Evaluate the expression
-4-4i /6i and write the result in the form a + bi.

Answers

Answer:

-(2/3) + (2/3)i

Step-by-step explanation:

( -4 - 4i) / 6i

multply by i/i

(-4i - 4i^2) / 6i^2

since i^2 = -1

(-4i + 4) / -6

(4 - 4i) / -6

Reduce fraction

-(2/3) + (2/3)i

Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.

Answers

Answer:

2(x+10)

Step-by-step explanation:

x + 10 + x + 10 is the same as 2 times the expression x + 10

This can be written as 2(x+10)

-Chetan K

Answer: 2(x+10)

Step-by-step explanation:

x + 10 + x + 10 is the same as 2 times the expression x + 10

This can be written as 2(x+10)

Solve for g.
16g–11g+g=6
g=

Answers

5g + g = 6
6g = 6
g = 6/6
g=1

A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow

Answers

So 175 will sleep without a pillow is your answer! plz mark me brainalist

Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-8-(-6)[/tex]

[tex]=-8-(-6)[/tex]

[tex]=-8+6[/tex]

[tex]=-2[/tex]

The answer is B.

Here's a graph photo!

Hopefully, this helps you!!

[tex]Sokka[/tex]

Convert 32∘C to ∘F. Round to one decimal place.

Answers

Answer:

89.6°F

Step-by-step explanation:

hope this helps

have a good day or night

Answer:

89.6∘F

Step-by-step explanation:

[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]

32∘C should be 89.6∘F.

Hope this helps.

hi can you please answer this question 20 points if u do

Answers

Answer:

Step-by-step explanation

just multiply

like 1x2=2

so 60x2=120

2x5=10

120x5=600

and on and on

Consider the following equation:

5x+4y=−3
Determine if the given ordered pair, (1,−2), satisfies the given equation
yes or no

Answers

Answer:

(1, - 2 ) is a solution

Step-by-step explanation:

Substitute the coordinates into the left side and if equal to the right side then the ordered pair is a solution.

5(1) + 4(- 2) = 5 + (- 8) = 5 - 8 = - 3 = right- side

Then (1, - 2 ) is a solution of the equation

you want to frame a photo from your trip to send home selective frame that suitable for a photo with a perimeter of 70 cm​

Answers

Points H=Mc3
26/861639+owuoe

can this problem be solved using the unitary method?yes or no.An oven has a maximum temperature of 220°c.what will it be in 2 days time​

Answers

Answer:

yes 25 :)

I'm sorry if I'm wrong

Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can prepare?
Group of answer choices

18

12

6

3

Answers

Answer: 6

Step-by-step explanation:

18/2=6=12/2

Answer:

6

Step-by-step explanation:

She could put 3 carrots on each plate: 18/3=6. And 2 baby potatoes on each plate: 12/2=6. So, she can make a maximum of 6 plates of veggies. Hope this helps. :D

whats 3/16 divided by 12

Answers

Answer:

0.015625

Step-by-step explana

The answer is 0.015625

The rectangle shown has a perimeter of 64 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

Length 28 cm, width 4 cm

Step-by-step explanation:

Given:

P = 64 cmL = 5W + 8

Simplify equation for perimeter and solve for W:

P = 2(L + W) = 2(5W + 8 + W) = 2(6W + 8) = 12W + 1612W + 16 = 6412W = 48W = 4 cm

Find L:

L = 5*4 + 8 = 28 cm

How many times does 1/14 go into 6/7

Answers

Answer:

uhhhh 12 times i believe

Solve
46+(-4)

A. 50

B. 42

C. -42

D. -50

Answers

we have 46 + (-4) = 46 - 4 = 42

so the answer is B

ok done. Thank to me :>

a box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed​

Answers

A box=12 pencils

156 boxes =?

156÷12=13 boxes

If Keegan has 15 nickels and quarters in his pocket, and they have a combined value of 195 cents, how
many of each coin does he have?

__quarters
__nickels

Answers

Answer:

7  Quarters and 4 Nickels

Step-by-step explanation:

basically, Since a Quarter is worth 25 cents and a Nickel is worth 5 cents, You can do 25x7=175 and 5x4=20 then add 175+20 and then you get 195.

Hope I could help! :)

measurement 6 is 126
find measurement 1 and 4

Answers

Step-by-step explanation:

just stop wasting ur pionts

thanks in advance ill mark brainliest ​

Answers

the answer is the first one

Answer:

i

Step-by-step explanation:

i think it is a. ..........

Melissa can buy an 8 pound bag of dog food for $7.20. What is the cost of 1 pound? PLZZ I REALLY NEED HELP!

Answers

Answer:

$0.90

Step-by-step explanation:

7.20/8 = $0.90

In type 1 diabetes, the immune system attacks certain cells in the pancreas.

Question 2 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

The person's immune system specifically targets beta cells disrupting the production of insulin.

find the integral.......

Answers

Answer:

1/5(2ln|x|+3*5^1/3)+c

Step-by-step explanation:

Help help help pls!

How do i do this, pls i need help asap-​

Answers

Answer:

Step-by-step explanation:

Hola

Other Questions
4.Find the value of y when x = 2.y = 3x + 2XONY22a) 2b) 6c) 7d) 8 Find an equation of the line passing through the point (2, 7) with slope m= 6. Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D. PLEASE HELPFind the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years what is the name of the river that runs through london? why didn't Andrew Jackson try to get votes from the Cherokees 7+q+4=4+7+qWhat property? Graph the solution of the inequality 3x+7>13 5. What is the role of DNA poly-merase in DNA replication? Which of these best explains the paradox presented in the poem "Homework"?Though many famous monuments need restoration, rescuing wildlife needs to be prioritized.Though there are countless global crises that require attention, the most important one is reducing pollution.Though an international clean-up is needed, the solution is not as simple as cleaning laundry.Though many countries have problems that need attention, the United States cannot address them all. Could a child born in a soddy in the 1880s have been a farmer during the Dust Bowl years? !!!!!!!!!!!!!!!!!!!!!!!!!!!1 The length of a rectangle is 2 in longer than its width.If the perimeter of the rectangle is 68 in, find its length and width. what is the slope of (16,1) and (17,7) Hemolysis is:O A) when a red blood cell is in a hypertonic solution and the cell rupturesO B) when a red blood cell is in a hypotonic solution and the cell rupturesO C) when a red blood cell is in a hypotonic solution and the cell shrinksO D) when a red blood cell is in a hypertonic solution and the cell shrinks What is the distance between the two points (-7, -7) and (4, -3)?a. 5C. 10.44b. 7d. 11.7Please select the best answer from the choices provided You have been elected to assist the school's yearbook committee and newspaper club in purchasing new computers. The current computers for both organizations are located in the school's secondary computerlab. Your job is to help students understand how to use the new computers that were purchased.Which stage of the computer life cycle are your duties associated with?A) Deploying computersB) Retiring computersC) Supporting and upgradingD) planning for and purchasing equipment Quines podran beneficiarse ms de esta entrevista? Las personas interesadas en los detergentes industriales Answer A: Las personas interesadas en los detergentes industriales A Las personas que tienen alergia a los productos qumicos Answer B: Las personas que tienen alergia a los productos qumicos B Las personas a las que les gusta la ropa perfumada Answer C: Las personas a las que les gusta la ropa perfumada C Las personas que buscan alternativas saludables de comida 1. How did the French Revolution lead to division of the German Confederation and theNapoleonic Kingdom of Italy? What are the causes when a pinched nerve is located in your lower back?