Verify the identity.
sin x/1-cos x = csc x + cot x​

Verify The Identity.sin X/1-cos X = Csc X + Cot X

Answers

Answer 1

Answer:

See below for proof

Step-by-step explanation:

[tex]\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x[/tex]


Related Questions

Find the distance between (9, 0) and (6, -8)

Answers

Answer:

[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)  

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:

[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]

So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.

To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.

HELP ME PLS, the function-

Answers

Could u write it out??

Which expression is equivalent to 2 (-3x + 5)?
OA. -6x + 5
B. -6x + 10
Ос. 6x — 10
OD. 6x - 5

Answers

Use the distributive property
(2*-3x )+ (5*2)
=-6x+10
Or choice B

giving brainliest !!!!!!!

Answers

Answer:

6 square inches

Step-by-step explanation:

6(1*1) = 6 in^2

Answer:

hi

Step-by-step explanation:

i think 6×1in²=6

i hope it is true

hope it helps

have a nice day

Let V=(2,8) and W=(-1,-4)

which of the following is true?
check all that apply,

A.) The x-component of V is 2
B.) V= -2W
C.) V·W= -34
D.) V and W are perpendicular ​

Answers

Answer:

B, and W are correct i think

Step-by-step explanation:

Answer:

A.) The x-component of V is 2

B.) V= -2W

C.) V·W= -34

please help me i will give a brainliest ​

Answers

Answer:

(8,5)

Step-by-step explanation:

if its a rectangle it must share its x and y values with what is already given

each section in a stadium has 2460 seats. if there are 12 rows in each section, how many seats are in each row?

Answers

Answer:

your answer is 117

Step-by-step explanation:

2460÷12=117

i hope this helps

have a nice day/night

mark brainliest please :)

On a coordinate plane, a rectangle has 4 points. Point A is (negative 5, 3), point B is (4, 3), point C is (4, 0), point D is (negative 5, 0). What is the length of side AB with endpoints A(–5, 3) and B(4, 3)? units

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

help help help help hlep help help help helph elp

Answers

9514 1404 393

Answer:

  step 2; misapplication of the distributive property

Step-by-step explanation:

To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...

  Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55

Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.

Please help me! due today!

Answers

its 44 cause 10+16+18=44

if u need more help tell me

A bag contains colored tiles.

• 3 tiles are red

• 6 tiles are green

• 3 tiles are blue

A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

Answer:

0.5

Step-by-step explanation:

add up the amount of tiles

6+3+3=12

then subtract the green tiles from the total amount

12-6=6

then divide 12/6

=0.5

Answer:

0.5

Step-by-step explanation:

Add the fraction 1/4 + 5/6 write your answer as a mixed number

Answers

Answer:

a common factor 4 and 6 have is 12. we can change this to get it to 12.

¼->3/12

⅚-> 10/12

add the new fractions together

3/12+10/12=13/12 or 1 and 1/12

The required answer is  1 1/12 as a mixed number when adding the fraction 1/4 + 5/6.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The fractions are given in the question

1/4 and 5/6

We have to determine the addition operation,

⇒ 1/4 + 5/6

Take the LCM in the terms of fractions

⇒ 13/12

Convert the fraction to a mixed number by using long division to find the quotient and remainder

⇒ 13 ÷ 12 = 1 R1

The quotient will be the whole number in the fraction, and the remainder will be the numerator in the mixed number

⇒ 1 1/12

Therefore, the required answer is  1 1/12 as a mixed number.

Learn more about the fractions here:

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Gabrielle swam for 142 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 347 minutes. How many more minutes did she swim for in the second week than in the first week?
Gabrielle swam for ????
more minutes in the second week than in the first week.

Answers

Answer:

she swam 63 minutes more than in the first

Step-by-step explanation:

first week only = 142 minutes

total week = 347

second week only = 347 - 142 = 205 minutes

205 - 142 = 63 minutes

Anyone know how to do this

Answers

Answer:

ill help if u help with me with chemistry

Answer:

A: The conclusion is not valid. You must first be given that BC = AD

Step-by-step explanation:

Then again I could be Wrong. Math is not my strongest

HELP HELP 20 Points

Geometry

Answers

270° → [tex] \frac{3π}{2} [/tex] ≈ 4.7

360° → [tex] 2π [/tex] ≈ 6.3

60° → [tex] \frac{π}{3} [/tex] ≈ 1.1

45° → [tex] \frac{π}{4} [/tex] ≈ 0.8

135° → [tex] \frac{3π}{4} [/tex] ≈ 2.4

225° → [tex] \frac{5π}{4} [/tex] ≈ 3.9

If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that represents the graph?

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice

Answers

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

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PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

C.

Step-by-step explanation:

Please help me figure out this math problem

Answers

Answer:

r3

Step-by-step explanation:

r

where the question ?

What’s the product of 2/8 and 3/5?

Answers

Answer:

6/40=3/20

Step-by-step explanation:

Which inequality is true? QUICK WHOEVER GETS IT GETS BRAINLIES or however you spell it

Answers

Answer:

D is correct

Step-by-step explanation:

as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5

Celia made 3 1/2 cups of rice. a serving is 2/3 cup
How many servings of rice did Celia make

Answers

Answer:

5 1/4 .

Step-by-step explanation:

Given:

Celia made 3 1/2 cups of rice.

A serving of rice is 2/3 cup.

Now, to find the number of servings Celia make.

Celia made

So, to get the number of servings we use unitary method:

If 2/3 cup of rice is of 1 serving.

So, 1 cup of rice is of = =

Then 7/2 cup of rice is of  

                                         

Thus, 7/2 cup of rice is of  servings.

Therefore, Celia make  servings.

Step-by-step explanation:

1/2=y+3 divided by 7

(the problem is written different it could be written as 1/2= y+3/7 i think because there is like a long line under the y+3 an under the line its 7 plz help

Answers

Answer:

y = 1/4 :)

Step-by-step explanation:

Solve percent problems (if anyone has done this test can you please screen shot it or just type the answers) Thank you very much!

Answers

x seniors/1000 total seniors=63/100

x would turn out to be 630 :)

9(3y-5) expanded

HELPP

Answers

The answer you are looking for is 27y - 45

Answer:

x=9(3y-5)

Step-by-step explanation:

Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________

Answers

Answer:

1/4

Step-by-step explanation:

I could be wrong but that's what I would put

Answer:

P(next to be rose) = 1/4

Explanation:

in general when she picked 12 flowers, 3 were roses

3/12 = 1/4

16x < 20
What can x be?

Answers

Answer:

x < 5/4

Step-by-step explanation:

divide by 16 on both sides

x < 20/16 = 5/4

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

The answer is 25/6 pounds or 4 and 1/6 pounds.

$0.73 + $0.25 = $_____

Answers

Answer:

98 is the answer to this problem

Step-by-step explanation:

7+2=9

3+5=8

Answer:

$0.98

Step-by-step explanation:

 $0.73

 $0.25

+ ______

   $.98

To the nearest dollar, $1.00

Have a nice day, fam. Spread The Love.

Help. I’ll give branliest!! Due today!

Answers

Answer:

4

Step-by-step explanation:

Im pretty sure its 4

Answer:

4 is the answer to the question

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