Prove That

cot 2A + tan 2A cot 2A-tan 2A = sec 4A​

Answers

Answer 1

Answer:

*Refer the graph

Step-by-step explanation:

Blue : y= cot 2A + tan 2A cot 2A-tan 2A

domain a ≠ kπ/4

Yellow : y= sec 4A

domain a ≠ π/8 + kπ/4

vertical intercept (0,1)

Prove That Cot 2A + Tan 2A Cot 2A-tan 2A = Sec 4A

Related Questions

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.

Answers

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

4. A prism has an area of cross-section of 89 cm². The volume of the prism is
4895 cm?. Find the height of the prism.

Answers

Answer:

55 cm

Step-by-step explanation:

height = 4895/89 = 55 cm

Find the missing side lengths. Leave your answers as radicals in the simplest form.

Answers

Answer:

x = 28, y = 14

Step-by-step explanation:

Use the property of 30°-60°-90° right triangle.

The ratio of sides:

a : b : c = 1 : √3 : 2

Compare with the given:

y : 14√3 : x  = 1 : √3 : 2y = 14√3 / √3 = 14x = 2*14 = 28

Apply the property of 30-90-60 angle

a:b:c=1:√3:2

So

y=14√3/√3=14x=2(y)=2(14)=28

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?

A. 1/5
B. 5
C. 1
D. 1/25

Answers

Answer:

1/5

Step-by-step explanation:

because multiply any different copies by 1/5 to get the cost of the print shop

URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.

Answers

Answer:

try 14n

Step-by-step explanation:

Answer:

[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]

Please mark me as Brainliest

1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
​plesswe

Answers

1. = -23/420

2. x = 5

write a function G whose graph represents a vertical stretch by a factor of two followed by a translation one unit up of
f (x) = x

Answers

G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up

Given :

Original function f(x)=x

To find :

Function G whose graph is a vertical stretch by 2  and move one unit up

We use the given function to for vertical stretch and shifting up

for Vertical stretch multiply the factor by f(x)

f(x) becomes  2f(x)

so the function becomes 2x

[tex]f(x)=2f(x)=2x\\[/tex]

For moving up , we need to add the units at the end of the function

f(x)+1

2x+1

Hence, G(x)=2x+1

Learn more :  /brainly.com/question/4521517

What is the 100th term of the arithmetic sequence below?
4, 11, 18, 25

Answers

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697

b - 8 = 9
---------------

Answers

Answer:

b-8=9

b=9+8

b=17

Step-by-step explanation:

hope it will help you mark me as a brilliant.

Answer:

b=17

Step-by-step explanation:

b-8=9

first isolate the variable by adding 8 to both sides

this gives us

b=17

Correct answer gets brainliest and 5 stars

Answers

Answer:

Does the answer help you?

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Answers

The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

The slice of pie will form a sector as shown;

The area of the slice of pie will be expressed as:

[tex]A=\frac{\theta}{360}* \pi r^2[/tex]

[tex]\theta\\[/tex] is the central angle = 45 degrees

r is the radius

[tex]r=\frac{d}{2}\\r= \frac{15}{2}\\r= 7.5feet[/tex]

Substitute the given values into the formula above;

[tex]A=\frac{45}{360} * 3.14*7.5^2\\A=\frac{1}{8} * 176.625\\A=22.08ft^2[/tex]

Hence the area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

Learn more about an area of a sector here: https://brainly.com/question/12792310

Answer:

the guy on top is right

Step-by-step explanation:

i took the test

please help, will give brainliest!!!

Answers

Answer:

Find the domain by finding where the equation is defined.

Interval Notation:

(−∞,−4)∪(−4,7)∪(7,∞)

Set-Builder Notation:

{x|x≠−4,7}

Step-by-step explanation:

Answer:

all real numbers except x=-4 or x = 7

Step-by-step explanation:

The domain is the numbers that x can take

We have restrictions for this problem

the denominator cannot be zero

x^2 -3x-28 cannot be zero

(x-7)(x+4) ≠ 0

x-7≠0  x+4≠0

x≠7 x≠-4

Otherwise all real numbers are valid

Which set is of whole numbers but not natural numbers?

Answers

Step-by-step explanation:

The set of Natural numbers: {1, 2, 3, 4, 5, ...}

The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0

how do you solve this

Answers

Answer:

√2

Step-by-step explanation:

tan(x) = -1

x = arctan(-1)

x = -π/4

Now since x is between 3π/2 and 2π use use the general form

nπ-π/4

taking n = 2

2×π-π/4

= 7π/4

now tan (7π/4) = -1

so sec (7π/4) = √2

Answered by GAUTHMATH

Find the slope of the line that passes through (26, 15) and (1, 86).

Answers

Answer:

-71/25

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

m = (86-15)/(1 -26)

   = 71/-25

  = -71/25

Answer:

[tex]\displaystyle m = \frac{-71}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{71}{-25}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option C, 832 units²

Step-by-step explanation:

l = 8

w = 7

h = 24

Surface area = 2(wl+hl+hw)

=2×(7×8+24×8+24×7)

=832 units²

Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!

Divide. Write your answer as a fraction in simplest form. − 1/5÷20=

Answers

Answer:

-0.01

Step-by-step explanation:

hope it can work for you mark me as a brain liest plz like and follow me guys

Answer:

-0.01

Step-by-step explanation:

BRAINLEST IF CORRECT!!!!!!!

Answers

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

PLEASE PLEASE PLEASE PLEASE HELPME I *REALLY* NEED HELP!!!
(ALL LINKS WILL BE REPORTED)
Which of the following pairs of triangles can be proven similar through SSS similarity? PHOTO ATTACHED :))

Answers

Answer:

A

Step-by-step explanation:

since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.

I’m stuck somebody can help me

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

(g•h)(x) = 2(x²+4)

(g•h)(3)=2(3²+4)

=2(9+4)

=2(13)

=26

I need help with this question ​

Answers

Answer:

m

Step-by-step explanation:

pls halp ////////////////

Answers

Answer:

9x^2 + 2x - 5

Step-by-step explanation:

7x^2 - 5x + 3

2x^2 + 7x - 8

__________

9x^2 + 2x - 5

Option B is the correct answer.

PLEASE HELP I DONT UNDERSTAND

Write the equation of the line in slope-intercept form that is perpendicular to y = x - 2 and that
passes through the point (6,-5). Show all of your work.

Answers

Answer:

y = -x + 1

Step-by-step explanation:

eqn of line: y=mx+c

perpendicular, m1 x m2 = -1

m × 1 = -1

m = -1

y=-x+c

sub x=-5, y=6

6 = -(-5) +c

6 = 5 + c

c = 1

y = -x + 1

can any one explain how to look for d direction of a vector .​

Answers

Answer:

The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)

Rachel covered a single lap of 1,210 m in 55 s. Calculate her speed in m/s

Answers

Answer:

22 m/s

Step-by-step explanation:

Take the distance and divide by the time

1210 m/55s

22 m/s

Answer:

22m/s

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]

F(x)=2x+1 and g(x)=x2-7, find (f+g)(x)

Answers

Answer:

x^2 +2x -6

Step-by-step explanation:

f(x)=2x+1

g(x)=x^2-7,

(f+g)(x) = 2x+1 + x^2 -7

Combine like terms

           = x^2 +2x -6

f (x) = 2x + 1

g (x) = x² - 7

(f+g) (x) = 2x+1 + x² - 7

Adding like terms

⇛ x² + 2x - 6

Perimeter of a semi circle with a diameter of 3.5m​

Answers

Answer:

10.99

Step-by-step explanation:

c=[tex]\pi[/tex]d

c=3.14 x 3.5cm

c=10.99

I need help on #17 can someone please help me?

Answers

Answer:

t=2

Step-by-step explanation:

We are given the equation

h = -16t²+36t+1

Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).

Therefore, as 9 is the height, we can plug that into our equation to get

9 = -16t²+36t+1

To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get

-16t²+36t-8=0

To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation

-16t²+32t+4t-8=0

-16t(t-2) + 4(t-2) = 0

(-16t+4)(t-2) = 0

Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0

t-2 = 0

t=2

-16t+4 = 0

-16t = -4

t = 1/4

Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down

10. What is the correct trigonometry ratio to solve for x?
х
52°
20

Answers

Step-by-step explanation:

tan y = opposite/adjacent

so, tan 52° = 20/x

Answer:

tan(52) = 20/x

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(52) = 20/x

If a is an odd integer and b is an even integer, which of the following makes an odd integer?
A.) 3b
B.) a+3
C.) 2(a+b)
D.) a+2b
Explain your answer

Answers

9514 1404 393

Answer:

  D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

  A) 3(0) = 0 . . . even

  B) 1 +3 = 4 . . . even

  C) 2(1+0) = 2 . . . even

  D) 1 +2(0) = 1 . . . odd

_____

Additional comment

These rules apply to even/odd:

odd × odd = oddodd × even = eveneven × even = evenodd + odd = evenodd + even = oddeven + even = even

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

Other Questions
What happens if Rainsford refuses to play the game?A.he is set freeB.he must swim to a passing boatC.Ivan gets himD.he lives with Zaroff forever hallar "x"................................... Casey Motors recently reported net income of $55 million. The firm's tax rate was 40.0% and interest expense was $19 million. The company's after-tax cost of capital is 9.0% and the firm's total investor supplied operating capital employed equals $385 million. What is the company's EVA Which of the following is the main idea of the passage?a. Factory workers worked long hours and weren't paid well.b. Large factories sprung up in cities.c. Many people lived in the countrysided. The invention of machines changed people's way of life. PLEASE URGENT Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ). Why is the Executive Office of the President is important to the President of the United States? total distance divided by total time PLEASE ANSWER ASAP ITS MY LAST QUESTION When people talk about recreational drugs, what definition of "drugs" are they using? A.) Non-food chemicals that alter the way a person thinks, feels, functions, or behave. B.) Mood-altering chemicals derived from plants. C.) Chemicals available only by prescription from a licensed medical professional.D.) illegal chemicals without any legitimate medical use. What is the first step in solving the equation x2 - 25 = 0?What is the second step in solving the equation? Which of the following statements regarding the movement of electrons during cellular respiration is true? A. Electrons tend to move away from O2. B. O2 is reduced when it accepts electrons and forms water. C. The electrons release large amounts of energy each time they are transferred from one molecule to another. D. O2 is eventually oxidized by the electrons to form water. A planet of mass m moves around the Sun of mass M in an elliptical orbit. The maximum and minimum distance of the planet from the Sun are r1 and r2, respectively. Find the relation between the time period of the planet in terms of r1 and r2. What does the koala look like? What kind of language is used in bright romantic literature? Ammonia enters the expansion valve of a refrigeration system at a pressure of 10 bar and a temperature of 24 C and exits at 1 bar. If the refrigerant undergoes a throttling process, what is the quality of the refrigerant exiting the expansion valve. a 10 foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle betwween the top of the ladder and the wall changing when that angle is if i need 90 square feet of tile and each piece of tile covers 0.34 square feet, how much do i need in pieces A regular polygon has each interior angle is 156, what is the number of sides of the polygon? A. 14 C. 16 B. 15 D. 17 Each of the following is a function of a bank EXCEPT:A.pay interestB.transfer moneyC.receive loansD.accept deposits Complete the remainder of the table for the given function rule: y= x/4 + 7 An employment agency specializing in temporary construction help pays heavy equipment operators $123 per day and general laborers $89 per day. If thirty-one people were hired and the payroll was $3507, how many heavy equipmentoperators were employed? How many laborers?The number of heavy equipment operators hired wasThe number of general laborers hired was