Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?
Edge 2020

Answers

Answer 1

Answer:C

1/1+cos(x)

Step-by-step explanation:

Answer 2

Simplifird form of the given trigonometric expression will be,

         [sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)

Simplification of a trigonometric expression:

Given expression in the question,

[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]

= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]

= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]

Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])

= [tex]\frac{1}{1+\text{cos}x}[/tex]        

          Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.

Learn more to simplify the trigonometric expressions here,

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Related Questions

George buys 1.5 pounds of apples, 2.7 pounds of
oranges, and 1.9 pounds of grapes. How much
change does he get from a $10 bill?

Answers

Answer:

aaaaaaaaaaaaaa2rdfdggggdfgdgv

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!
(also if you dont know please dont answer so the people who know see this)

Answers

Answer:

1. A, B, F, G, L

2. A, B, C, F, G, L, M

3. D, K

Step-by-step explanation:

1. THEY ALL HAVE 4 RIGHT ANGLES

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

Answers

Answer:

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

---------

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

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

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

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

(a) Find the angular speed of the wheels in rad/min.

rad/min

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

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?

Answers

Answer:

about 5.8cm

Step-by-step explanation:

What percentage of the guesst at this hotel called for room service yesterday?

Answers

Answer:

   

Step-by-step explanation:

The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?

Answers

Answer:

Square root of 81 is 9

9 multiply with 4 is 36

Permiter is 36cm.

Thank you and please rate me as brainliest as it will help me to level up

Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function

Answers

The relation is a function I believe so

For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _

Answers

Answer:

c

Step-by-step explanation:

Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn.
a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.
b. Solve the equation to find the cost of a tub of popcorn.

Answers

Your answer would be B

WHats 100000000000000 x 1000000000000000000000

Answers

Answer:

1e+35

Step-by-step explanation:

One day, Farmer Brown counts his chickens and his
eggs. He finds the ratio of chickens to eggs is 7 to 12. If
there are 77 chickens, how many eggs are there?

Answers

Answer:

132 eggs

Step-by-step explanation:

7 chickens to 12 eggs; 77 chickens to x eggs

7/12 to 77/x

77/7 = 11

7/12 (11/11)

77/132

77 chickens to 132 eggs

If there are 77 chickens, and the ratio of chickens to eggs is 7 to 12, there are 132 eggs.

The number of eggs from the given ratio are 132.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of chickens to eggs is 7 to 12.

There are 77 chickens.

Let x be the total number of chickens and eggs.

Now, 7/19 ×x=77

⇒ 7x=1463

⇒ x=209

Number of eggs =209-77

= 132

Therefore, the number of eggs are 132.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
25, 16, 12
A) Yes
B No

Answers

Answer: No

Step-by-step explanation:

To find out if it is a right triangle then use the formula  a^2 + b^2 = c^2 where a and b are the legs which are the two small sides  and c is the hypotenuse the longest side.  Input the values for  a, b, and c and solve.

a = 12

b = 16

c= 25

12^2 + 16^2 = 25^2

144 + 256 = 625

   400 = 625

This means that it is not a right angle because 400 does not equal to 625.

Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the second day she sells 8 adult tickets and 4 children tickets for the total 130. Determine the cost of adult and child tickets. Used a to represent adult and c to represent child tickets. Write an equation to represent the sales of day 1 and day 2. Used the elimination method.

Answers

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

Using the concept of elimination, the cost of adult and children tickets are $12.5 and $7.5 respectively

Let :

Number of adult tickets = a Number of children's tickets = c

Creating a system of equation thus :

6a + 5c = 112.50 - - - (1)

8a + 4c = 130 - - - - (2)

Multiply (1) by 4 and (2) by 5

24a + 20c = 450 - - - - (3)

40a + 20c = 650 - - - - (4)

Subtract

-16a = - 200

Divide both sides by - 16

a = 12.5

From (2) :

8(12.5) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 7.5

Hence, the cost of adult and children tickets are $12.5 and $7.5

Learn more : https://brainly.com/question/17802216

A typical red blood cell in human blood has a diameter of approximately 0.000007 m. Enter this diameter

in scientific notation.

In scientific notation, this diameter is

x 10

m.

Answers

Answer:

In scientific notation, that would be;

7.0 * 10^-7 m

Step-by-step explanation:

Here, we want to write the given diameter in scientific notation

Mathematically, that can be done by moving the decimal point to the back of 7

The number of times we move will be counted as negative powers of 10 host

Thus, we have;

7.0 * 10^-7

what is the reciprocal of x^3 and a^2 ? please help!!!

Answers

Answer:

1/x^3 and 1/a^2

Step-by-step explanation:

1/x^3 and 1/a^2 the person above me is correct

Find the value of x.

The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.

Answers

Answer:

x = 30°

Step-by-step explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}[/tex]

Step - by - step explanation

Given angles :

2x° , 90° , x°

To find :

Value of x

✎ Set up an equation and solve for x :

[tex] \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}[/tex]

Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.

➺ [tex] \sf{3x \degree + 90 \degree = 180 \degree}[/tex]

Move 90° to right hand side and change it's sign

➺ [tex] \sf{3x \degree = 180 \degree - 90 \degree}[/tex]

Subtract 90° from 180°

➺ [tex] \sf{3x \degree = 90 \degree}[/tex]

Divide both sides by 3

➺ [tex] \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }[/tex]

➺ [tex] \boxed{ \sf{x = 30 \degree}}[/tex]

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

Rules for solving an equation

If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets, if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

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PLEAD HELP ME FAST!!!!

Answers

Answer:

i can't really see to clear ..

Step-by-step explanation:

FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Ok

Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

Which statement best describes a ratio

Answers

Answer: Where are the options?

Step-by-step explanation:

A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

The measure of the center angle is 0.6 radians

Step-by-step explanation:

Mathematically, the length of an arc can be calculated using;

L = theta/360 * 2 * pi * r

where theta is the central angle

In this case, theta = ? , pi = 22/7 and r is 13

cm, length of arc is 8 cm

So we have ;

8 = theta/360 * 2 * pi * 13

360 * 7 * 8 = theta * 2 * 22 * 13

20,160 = 572 theta

theta = 20,160/572

theta = 35.24

let us convert this to radian measure

Mathematically, 1 degree = 0.0175 radian

Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians

To the nearest tenth, this is 0.6 radians

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

the line goes through the points (1,2),(5,3) and (9,4)

so the rise is 1
the run is 4

so the slope (aka rise over run) is 1/4x

Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:

- Each half-bushel is sold for $40.

- It will cost $15 of gas to drive the route.

Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.

(a) Calculate the orchard owner’s expected profit from driving the route.

(b) Calculate the standard deviation of the profit from driving the route.

Answers

Answer:

a) The orchard owner's expected profit from driving the route is $33.

b) The standard deviation of the profit is $27.28

Step-by-step explanation:

a) Data and Calculations:

Apples to sell = 4 half-bushels

Price of each half-bushel sold = $40

Sales revenue = $160 ($40 *4)

Cost of driving the route = $15

Expected values:

Event                          Probability  Revenue       Profit         Expected  Profit

No Sales                        40%            $0         ($15) ($0 - $15)        ($6.00)

Selling 1 half-bushel      30%         $40         $25 ($40 - $15)         $7.50

Selling 2 half-bushels   10%          $80         $65 ($80 - $15)        $6.50

Selling 3 half-bushels   10%         $120       $105 ($120 - $15)     $10.50

Selling 4 half-bushels   10%         $160       $145 ($160 - $15)     $14.50

Total expected profit = $33

Event                          Expected  Profit  Mean        Squared

                                                                       Difference

No Sales                            ($6.00)        -39             1,521

Selling 1 half-bushel           $7.50         -25.5           650.25

Selling 2 half-bushels        $6.50         -26.5           702.25

Selling 3 half-bushels      $10.50         -22.50         506.25

Selling 4 half-bushels      $14.50         -18.50          342.25

Sum of squared differences                                     3,722

Mean of squared differences = 744.4 (3,722/5)

Standard deviation = square root of the mean

= 27.28

= $27.28

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answers

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51

Answers

Answer:

4+4+4=12

Step-by-step explanation:

Each cake needs  cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:

4 + 4 + 4 = 12

Answer:

Step-by-step explanation:

Nika baked three loaves of zucchini bread.

Each bread needed 17/4

17/4 simplified as a decimal is 4.25 or as a fraction 4/25

Answer 3

4 + 4 + 4 = 16

Why? Because 4/25 is NOT gonna be a whole number.

25/25 = 1.

So, saying that I picked the 3rd answer because 16 is closer to 25.

16 is over 4 so we have to look at the next place value. And 51 is more than 25.

solve for the unknown.
4^2x+3=1
what does x equal?

Answers

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1 start by simplifying the equation

16x + 3 = 1 now subtract 3 on both sides

16x = -2 isolate the variable by dividing 16 on both sides

x = -1/8

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1

You want to try to get the x on one side by itself.

First step subtract 3 from both sides

4^2x + 3 -3 = 1 -3

so now it looks like 4^2x = -2

We know 4^2 is 4x4 which is 16.

16x= -2

Divide 16 by both sides.

x = -2 / 16

Reduce.

x = -1/8

     

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

The mixed number 1 7/8 can be expressed as 17/8 True False​

Answers

Answer:

False

Step-by-step explanation:

1 7/8 =15/8

determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)

Answers

Answer:

This relation IS a function

Answer:

This is a function

Step-by-step explanation:

Down below none of them overlap

There is no two points in the lines.

15 pts and brainliest, true, correct answers only

If N∈AB and AN= 1 3 · AB, then BN = · AB.

Answers

Answer:

13

Step-by-step explanation:

Not sure, i'm sorry

should be the same logic as

a=b

b=c

a=c

Mr. Chavez has assets of $250,000 and liabilities of $18,000. He decides to finance the entire amount of the purchase of a car valued at $26,000. Which of the following is true? a. Mr. Chavez increased his assets. b. Mr. Chavez increased his net worth. c. Mr. Chavez increased both his assets and net worth. d. Mr. Chavez did not increase his assets or his net worth. Please select the best answer from the choices provided A B C D

Answers

Answer:

C.

Step-by-step explanation:

Answer: C. Mr Chavez increased both his assets and net worth

Step-by-step explanation: edgenu 2021

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