prove that 1 - cosx / sinx = sinx / 1 + cosx
how?

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

using the identity

cos²x = 1 - sin²x

consider the left side

[tex]\frac{1-cosx}{sinx}[/tex]

multiply numerator/ denominator by (1 + cosx)

= [tex]\frac{(1-cosx)(1+cosx)}{sinx(1+cosx)}[/tex] ← expand numerator

= [tex]\frac{1-cos^2x}{sinx(1+cosx)}[/tex]

= [tex]\frac{sin^2x}{sinx(1+cosx)}[/tex] ← cancel sinx on numerator/ denominator

= [tex]\frac{sinx}{1+cosx}[/tex]

= right side , thus proven


Related Questions

Your help will be much appreciated. 30 points + brainliest.

find exact value of each of the following using half angle formulas​

Answers

Answer:

gimme a sec

Step-by-step explanation:

Answer:

a.   -.259

b. 3.732

c. -.259

d. 3.72972972973

Step-by-step explanation:

Stacy has a spinner and a number cube after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4

Answers

Complete question :

Stacy has a spinner (1 - 4) and a number cube (1 - 6) after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4

Answer:

5 /24

Step-by-step explanation:

The sample space for the sun of the outcome of the spinner and rolled number cube ;

Sample space = total possible outcomes = 6 * 4 = 24

Required outcome = sum equals 3 or 4 = 5

P(obtaining a sum of 3 or 4) = required outcome / Total possible outcomes

P(obtaining a sum of 3 or 4) = 5 /24

questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

Answer:

9: one solution

10: 121

Step-by-step explanation:

Hope that helped!! maybe brainliest?

edit: so sorry 9 is actually two solutions not one

Please help me with the right Awnser

Answers

Answer:

40 m2

Step-by-step explanation:

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

Please Help! Geometry

Answers

Answer:

x =14, y = 38

Step-by-step explanation:

Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

[tex]5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = \frac{70}{5} \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = \frac{76}{2} \\ \\ y = 38[/tex]

Can someone help me with this bell work, it is due at 2:15. It is attached!

Answers

Reverse image search it and try to find the answer key unless it was made by your teacher .
i wrote it on paper.....

Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes

Answers

Answer:

17 minutes

Step-by-step explanation:

identify the equation whose vertical graph is a vertical line.

a) y=2x-1
b) y=2
c) x=2​

Answers

Answer:

c

Step-by-step explanation:

-5(3x - 6 ) = -45

1) x = 2.6
2) x = -5
3) x = 5
4) x = -2.6​

Answers

(-15x+30) = -45
move 30 to the other side, making it negative
-15x=-45-30
-15x=-75
divide both sides by -15
x=5

Natalie was wrapping a gift for a birthday party
and she measured and found she had 3 1/6 yards of
ribbon. After finishing she had 1 3/4 yards of ribbon
remaining. How much ribbon did she use?

Answers

Answer:

1 5/12 yds

Step-by-step explanation:

3 1/6 - 1 3/4 = 38/12 - 21/12 = 17/12 = 1 5/12 yds

3x+4=20 solve the following question

Answers

Answer:

5.33

Step-by-step explanation:

3x=20-4

3x=16

x=5.33

Answer:

x = 16/3

Step-by-step explanation:

3x+4=20

3x = 20 - 4

3x = 16

x = 16/3

Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.

Answers

Answer:

Is that simultaneous equation

You can ask if something is not clear or you don't understand

The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=x-1 ...(1)

2x+y=8...(2)

By using substitution method we solve the value of x and y.

Substitute y value in equation (2)

2x+x-1=8

Combine the like terms

3x-1=8

Add 1 on both sides

3x=9

Divide both sides by 3

x=3

Now plug in x value in y equation.

y=3-1

y=2

Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Cuantas cifras se emplean para numerar las 48 paginas de una revista?

Answers

Answer:

Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.

Step-by-step explanation:

Mas de 16 páginas de una revista

What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.

Answers

583939485933094939392....../

What is the solution to the system of equations above?

Answers

Answer:

(-2,-2)

Step-by-step explanation:

the x is -2

also the y is -2

find total surface area of cylinder is R = 7 cm and H = 10 cm​

Answers

Step-by-step explanation:

Given radius , r = 7cm

and height , h = 10cm

Surface Area of Cylinder

[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]

I will leave it in terms of pi as i am not sure how you want to leave your answer as.

the volume in cm³, of a cube of edge is 3cm is

Answers

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)

Convert degrees to radians
Show all the work
2. 45
3. 90

Answers

Answer:

[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

To convert from degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

(2)

radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )

                          = [tex]\frac{\pi }{4}[/tex]

(3)

radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )

                           = [tex]\frac{\pi }{2}[/tex]

help please i’m confused

Answers

Answer:

7/10 pi (radians)

Step-by-step explanation:

The formula for sector area is (angle * r^2)/2

140pi = angle*r^2/2

multiply both sides by 2

280pi = angle * r^2

r = 20 cm (substitute)

280pi = angle * (20)^2

280pi = angle * 400

Divide both sides by 400

7/10 pi = angle

If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?

Answers

Answer:

20 gallons of gas

Step-by-step explanation:

Given that :

8 gallons of gas = 224 mile trip

Miles per gallon of Mrs. Allan's car :

Number of miles / gallons of gas

224 miles / 8 gallons

= 28 miles per gallon

Gallons of gas car will use for 560 miles

Number of miles / miles per gallon

560 miles / 28 miles per gallon

= 20 gallons of gas

Which of the following is an algebraic expression that represents the phrase X increased by 20

Answers

Answer:

The expression means that X+20

Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .

Answers

Answer: y=x+3.5
The function of the original equation (the data table) is y=1/2x+3.5
So 1/2 times 2 is 1 and the y intercept (the initial value) is the same! I hope I helped

Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answers

Answer:

Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answer:

SA = 2lw+2lh+2hw

SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5

SA = 392

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Please thank me on my profile if you found my answer here helpful!

help this is khan academy

Answers

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

HELP PLS ASAP PLS PLS DUE SOON

Answers

Answer:

blank 1: 63 degrees

heart if it helped!

A bank offers the following loans:

Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53

What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years

Answers

Answer:

It is bank A and bank B

about 10 years

someone please please help with this I would really appreciate it !

Answers

Answer:

I think this is how the response is meant to be, do you need workings to solve AB aswell?

Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.

Answers

Answer:

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975

f(6) is not equal to 0

then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3

Finding arc.. someone help me

Answers

Answer:

tyyfjkvtiu6gbygkj

Step-by-step explanation:

Answer:

1. answer 127 2 answer 64 3 answer 128 4 answer 42 hope this helped

Step-by-step explanation:

A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total

Answers

Answer:

79762

Step-by-step explanation:

Total number of employees in one country=26,700

Let X= Total number of the company's employees in all countries

31.6% of ( Total number of the company's employees in all countries)=26,700

=[( 31.6/100) × X)] =26,700

Making X subject of the formula we have

X= [(26,700)/( 33.6/100)]

= [26800/0.336]

= 79762 ( approximately)

Hence, Total number of the company's employees in all countries is 79762

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