review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Review The Proof (not In Order) Of The Identity Tan(0/2) = + 1-cos(0)/1+cos(0)which Is The Correct Sequence

Answers

Answer 1

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5


Related Questions

2. Mark works as a consultant for a computer firm. His weekly income is $425. His
monthly expenses are $1,266. How much does he have left for variable expenses?
(Hint: There are four pay periods in one month.)

Answers

Hi there, I hope you understand my answer and that it is correct :)

So, First we multiply $425 by 4 because there are approximately 4 weeks in every month, so as shown  [tex]425*4=1,700[/tex]

____________________________________________________________

Next We subtract the answer, which we got to be 1,700 from 1266.  

 [tex]1700 - 1266=434[/tex]

____________________________________________________________

Answer : $434 left to spend :)

How do I multiply a fraction and a whole number? Please explain step by step to get marked

Answers

Any whole number can be written as a fraction. All we do is place the number over 1.

For example, the whole number 7 is the same as the fraction 7/1.

If we wanted to multiply the whole number 7 with the fraction 2/3 then...

[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]

In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.

Find the exact value.

Answers

[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]

If
you
invest $100 in an index fund that earns an average annual rate of
return of 12.3% compounded monthly. You make a regular monthly
contributions of $25, how much will your investment be worth in 52 years?

Answers

Answer Interest rate = 12.3%

The compound interest formula is given by:

Where

A = Future amount

P = Present amount (Principal amount)

r = Interest rate in decimal form

n = No. of times compounded per year

t = time in years.

We can say that if:

Present amount = P

Future amount = 3P

r = 12.3/100 = 0.123

n = 1

t = ?

Substitute the values in the formula of compound interest:

Taking log on both sides.

Round off to nearest option

t ≅ 9 years

| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?

Answers

Answer:

The following equation has no / zero solution.

Step-by-step explanation:

The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.

how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h

Answers

Answer:3hrs 16min

Step-by-step explanation:

392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min

Really need help pls ty

Answers

Answer:

1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left

2: They are at each exibit for 51 min

Hope this helps: :)

The bed of Jerry's pickup truck is 6 feet long. On
a scale model of the truck, the bed is 1/4 inch
What is the scale of the model?
6 ft

Answers

Answer:

1:4

Step-by-step explanation:

(1/4 in : 6 ft)

1/4 in : 6 (12 in)

1/4 in : 72 in

divide each side by 1/4

288/72 simplified is ...

1 : 4

⦁ Solve for x: 3|x – 7| = 15
SHOW WORK

Answers

[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]

Ez way to do it use distribution 3x-21=15 add 21 to 15 =36
3x=36 divided by 3 both side x=12 x=2

Graph the following features: Y-intercept = 1 Slope 3/2 ​

Answers

Y=Mx+b, so y=3/2x+1. Put in desmos graphing calculator.

What is the value of x

Answers

Answer:

5"

root4square+3square=root25

=5


Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Answers

Answer:y=12 x=00

Step-by-step explanation:

you can not

The required equation that represents the graph is y = x + 30

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The standard linear equation is given as y = mx + b

Where,

m is the slope

b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

Therefore, the Required equation that Shows the graph is y = x + 30

Learn more about linear equations here:

brainly.com/question/13763238

#SPJ2

What does the transformation f(x)↦f(x+5)–1 do to the graph of f(x)?

Answers

Answer:

Every f(x) shall decrease to 5 times the previous value.

Classify the Triangle by its sides and angles. 140° Right Scalene Right Isosceles Equilateral Obtuse Isosceles Acute Isosceles Obtuse scate Acute Scalene​

Answers

Answer: Obtuse Isosceles.

Explanation: Two angles are congruent, which means the triangle is isosceles. One angle is over 90°, which means the triangle is obtuse.

Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.

Answers

2x(x2-6x+3)

4x^3-12x^2+6x

Not sure where to start

Answers

you could start anywhere

What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3

Answers

The answer is C. If you flip the 3/11 then you get 11/3 if you don’t simplify. The simplified solution would be 3 2/3 but without simplification it’s 11/3.

Answer:

I believe the answer is A.

I'll give brainliest to the right answer!!!
Find three consecutive odd integers such that the difference of twice the second and the first is 11.

Answers

Answer:

7, 9, 11

Step-by-step explanation:

question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.

make the 3 consecutive odd intergers x, y, and z.

numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:

x+2=y

y+2=z

given that: "difference of twice the second and the first is 11."

difference means subtraction

second number is the variable y

first number is the variable x

2y-x=11

----------------

3 equations:

2y-x=11

x+2=y

y+2=z

----------solve by substitution

x+2=y

x =y-2 into 2y-x=11

2y-(y-2)=11

2y-y+2=11

y=9

second number is 9

-----

numbers are 7, 9, 11

7,9,11 three consecutive integers

What is the 18th term to the sequence 14,18,22

Answers

the 18th term is 82

Help help help help math math

Answers

Answer:

umm i think its A/B

Step-by-step explanation:

Answer:

√49 < √56 < √64

Step-by-step explanation:

√56 = 7.4833....

7x7 = 49

8x8 = 64

√49 < √56 < √64

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

What is an equation of the line that passes through the points (-4, -5) and (-2, -6)?

Answers

Answer: [tex]y=-\frac{1}{2}x-7[/tex]

Ok done. Thank to me :>

Question:
Goofy Unlimited Lighting sells a 12 pack of lightbulbs for $8.40. Daisy Luminous Lighting sells a pack of 19 lightbulbs for
$15.35. Which store has the better deal. (3 points - 1 point showing the correct proportional relationship, 1 point
showing the unit rate, 1 point for identifying the store name)
es 0)
balo

Answers

Answer:

Goofy unlimited lighting 12 pack of light bulbs

Step-by-step explanation:

12 = 8.40/12 = .70 cents

19 = 15.35 = .81 cents

mom left $5.00 for his 7 children. how much did each child receive
a.0.17
b.0.70
c.17
d.71

please answer it correctly.​

Answers

Answer:

.71

Step-by-step explanation:

Answer:

B. 0.70

Step-by-step explanation:

Just divide the total amount of money by the total amount of people.

5/7=0.71428...

if you round up correctly, you get 0.70; thus, it is B.

Also, his is for he, mom is a she, so use her instead of his...

!!!!!!!!!HELP I need asnwer ASAP

Answers

The answers are in order.
1) 2, 8
2) 2, 1/2

Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12. a. 0 less-than-or-equal-to x less-than-or-equal-to 8 c. 8 less-than-or-equal-to x less-than-or-equal-to 16 b. x less-than-or-equal-to 8 d. no solution Please select the best answer from the choices provided A B C D

Answers

Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8


Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name for Triangle DNO is:

Answer Choices:
a. Scalene
b. Isosceles
c. Equilateral
d. Right
e. none of these

Answers

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]

Two edges of the same length, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at https://brainly.com/question/18345417

1 7.26 × 0.22 =
2 17.92 × 0.64 =
3 7.65 × 0.85 =
4 36.20 ×0.05 =
5 31.85 ×0.91 =
please answer it cause my calculator is broken​

Answers

Answer:

1) 1.5972

2) 11.4688

3) 6.5025

4) 1.81

5) 28.9835

1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.​

Answers

The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535

What is the Probability in Normal Distribution?

We are given;

Sample size; n = 50

Standard deviation; σ = 0.5

Mean; μ = 2

The formula to find the z-score for each sample mean is;

z = (x' - μ)/(σ/√n)

Thus, for x' = 1.8, we have;

z = (1.8 - 2)/(0.5/√50)

z = -2.83

For x' = 2.2, we have;

z = (2.2 - 2)/(0.5/√50)

z  = 2.83

Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;

P(-2.83 < Z < 2.83) = 0.99535

Read more about Normal Distribution Probability at; https://brainly.com/question/4079902

#SPJ1

Other Questions
Which activities influenced by early Indians are you familiar with? Check all that apply. viewing statues of the Buddha or of Hindu gods in museums or online reading stories about Hindu gods like Rama and Shiva using algebra to solve a problem using a telescope to look at stars and planets working on a computer Write and evaluate algebraic expressions choose the correct form of adjective to complete: the stock market crash of 1920 left my grandfather ------- (penny) determine the moments of inertia of the quartercircular area about the x- and y- axes, and find the polar radius of gyration about point o. Both Moctezuma II and The End of the Aztec Empire show Moctezuma being taken prisoner by Corts. Write an informational essay about how Moctezuma was captured. can someone help me learn transforming linear functions? i need to know how to move the linear equation up or down on the y axis, and increase and decrease the slope. please be a virtuso or higher.I'll make the person that helps me through it brainliest and answering and helping is worth 35 pts. Does anyone know the answer please help!! ribosomes contain three discrete sites where trnas bind and the polypeptide is synthesized. these are called site (a site), site (p site), and site (e site). Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain. Which tool is used to request a review of the diagnosis code on an account Enlist any five properties of metals.four points The fossil record indicates that oxygen was released into the ocean before it was released into the atmosphere. What would be a sound explanation?Question 5 options:Organisms released oxygen into the ocean until the ocean couldn't absorb anymore, so it was then released into the atmosphere from the oceanIncreases in iron in the ocean from undersea vents prevented oxygen from escaping into the atmosphereUndersea vents dumped oxygen into the ocean which then released it into the atmosphereIncreasingly diverse life in the oceans led to an abundance of oxygen which drifted into the atmosphere Which part of the computer is responsible for managing memory allocation for all applications A. Word processorB. Operating systemC. Web browserD. Intergrated development environmentI think its B but Im not sure so I want to see if Im right before answering 6. Gloria has 7 yellow pencils. She has 9 red pencils. Which strategywould NOT help you find 9 -- 7?A Make 10(BThink AdditionCount to SubtractMy Way IF YOU GET THIS RIGHT YOU GET BRAINLIESTTasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection Neither of the girls completed their work.(Affirmative) Which material is an aquifer layer most likely made of?. How do I solve for x? What ended with the end of the Civil War?A. Child laborB. Hunger strikesC. PollutionD. Slavery