1/sec-1 + 1/sec+1 = 2cotcosec

Answers

Answer 1

Solution :

LHS = 1/(secA -1) + 1/(secA+1)

= [secA+1+secA-1]/[(secA-1)(secA+1)]

= (2secA)/[sec²A-1]

=(2secA)/tan²A

= (2/cosA)/(sin²A/cos²A)

= ( 2cosA)/sin²A

= 2(1/sinA)(cosA/sinA)

= 2cosecAcotA

= RHS

••••


Related Questions

PLZ HELP ASAP please

Answers

Answer:

b:4,5

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:

Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]

Fill formula and solve-

[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]

[tex]\sqrt{ (-4)^2+(5)^2[/tex]

[tex]\sqrt{ 16+25[/tex]

[tex]\sqrt{41[/tex]

[tex]\\6.4031[/tex]

[tex]6.4[/tex]

if U= π(r+h), find r when U =16/1/2 and h = 2/3/4

π = 3/1/7​

Answers

Answer:

r = 2.5

Step-by-step explanation:

U= π(r+h)

Where,

U = 16 1/2

h = 2 3/4

π = 3 1/7​

U= π(r+h)

16 1/2 = 3 1/7(r + 2 3/4)

33/2 = 22/7(r + 11/4)

33/2 = 22/7r + (22/7 * 11/4)

33/2 = 22/7r + 242/28

33/2 - 242/28 = 22/7r

(462-242) / 28 = 22/7r

220/28 = 22/7r

r = 220/28 ÷ 22/7

= 220/28 × 7/22

= (220 * 7) / (28 * 22)

= 1540/616

= 2.5

r = 2.5

without using tables or calculator, evaluate​

Answers

Question:- Find the value

[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]

Answer->

[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]

we know:-

[tex] \sin( \theta) = \cos(90 - \theta) \\ \\ \cos( \theta) = \sin(90 - \theta) [/tex]

So putting down the value

[tex] \frac{ \cos(90 - 20 \degree) }{ \cos(70\degree) } + \frac{ \sin(90 - 35\degree) }{ \sin( 65\degree)} [/tex]

[tex] \frac{ \cos(70\degree) }{ \cos(70\degree) } + \frac{ \sin(65\degree) }{ \sin( 65\degree)} [/tex]

[tex]\frac{\cancel{\cos(70\degree)}}{ \cancel{\cos(70\degree)}} + \frac{\cancel{\sin(65\degree)}}{\cancel{\sin( 65\degree)}} [/tex]

[tex] \frac{1}{1} + \frac{1}{1} \\ 1 + 1 = 2 \: \: ans[/tex]

For a beverage, Lisa mixes cups of lemonade to cups of ice tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea

Answers

Answer:

lemonade is 4:10 to ice or .4:1

Step-by-step explanation:

Assuming lemonade is 2 and tea is 5, you can use a table or multiply both reciprocals by 2 so 2x2 and 2x5 = 4:10. then if you want to see how much is in just once cup of tea divide by ten to each for the product of .4:1

Answer:  For every 2 cups of lemonade, there are 5 cups of iced tea.

if the ratio is 2:5 then for every 2 cups of lemonade there are 5 cups of tea.

it is just another way of saying the ratio

Find the arc length of the partial circle.

Answers

Answer:

4.71

Step-by-step explanation:

Arc length = 2*pi*r-(pi*r)/2

Arc length = 3*2*(3.14)/4 = 4.71

Help me write in standard form please help!

Answers

y = -5/6x + 19/2 (i think)

If cos(27) =p, express sin(27) in terms of p

Answers

Answer:

√(p²-1)

Step-by-step explanation:

sin (27°) = √(p²-1) / 1

= √(p²-1)

#3 1/3x = 15 Find value of X

Answers

Answer:

x = 45

Step-by-step explanation:

1/3x = 15          (Given)

3(1/3x) = 15(3)  (Multiply 3 on both sides)

x = 45              (Simplify)

Answer:

45

Step-by-step explanation:

1/3x = 15

Multiplying 3 on both sides,

3(1/3x) = 15(3)

x = 15 x 3

x = 45

simplify 12/2 . 12/3

Answers

Step-by-step explanation:

is that really all ?

to simplify 12/2 and 12/3 ?

well, 12 can be divided by 2 and by 3 without remainder.

and so we get

12/2 = 6/1 = 6

12/3 = 4/1 = 4

Identify the reflection rule in the given figure.

A. Reflection along the line y = –1
B. Reflection along x-axis
C. Reflection along y = 1
D. Reflection along y-axis

Answers

Answer: A) Reflection along the line y = -1

===========================================================

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

Help!!!
Slove for x.
A.11
B.9
C.13
D.14

Answers

Answer:

Step-by-step explanation:

The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.

7/(x + 7) = 6/(15 + 6)         Cross Multiply after combining

7 / (x + 7) = 6/(21)                

6 * (x + 7) = 7 * 21             Remove the brackets

6x + 42 = 147                   Subtract 42

6x = 147 - 42

6x = 105                           Divide by 6

x = 17.5

I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.

How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10

Answers

Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.

help again geometry similarity transformations

Answers

1. 2

2. The X axis

3. 3 right and 1 up (3, 1)

Answer:

2 or A

x-axis or y = 0

I'm not sure the answer choices for the third one so I'm heading out.

Step-by-step explanation:

If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.

Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.

a circle in the xy plane has a center at (3/4, 1/2)

Answers

Answer:

(x - 3/4)^2 + (y - 1/2)^2 = r^2

Brainliest, please!

Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(x - 3/4)^2 + (y - 1/2)^2 = r^2

We do not have enough information to find the radius. Were you given another point that lies on the circle?

HELLOOOPPPPPPPPOPPPP

Answers

Answer:

Below

Step-by-step explanation:

Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x

If the sales tax is 4% there is an additional (72.99x)(1.04)

Here is the equation

= (72.99)(1.04) t

If Patrick bought 8 tires.....

= (72.99)(1.04)(8)

= $607.2768

Hope this helps!

Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more than $ 16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Answers

Answer:

About 16 miles

The equation:

.75x+3.95

At 16 miles Katie will have spent $15.95.

Answer:

16 miles

Step-by-step explanation:

3.95 + .75m < 16

Subtract 3.95 from each side

3.95 -3.95+ .75m < 16-3.95

.75m < 12.05

Divide each side by .75

.75m/.75  < 12.05/.75

m <16.066666666

Rounding to the nearest mile

m < 16


Draw the parabola's axis of symmetry.

Answers

This line will land vertically on the -3 line.

Anyone help please I need it

Answers

Answer:

[tex]-10+i\sqrt{2}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

Take factors from out of under the radical:

[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]

[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]

Simplify,

[tex]-10+i\sqrt{2}[/tex]

Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part B
What is the value of the expression when b = 2 and c = -3?

Answers

Answer:

8

Step-by-step explanation:

-4(2)+8(-3)+12-8(2)-2(-3)+6=-8-24+12-16+6+6=8

Answer:

-24

Step-by-step explanation:

-4b + 8c + 12 - 8b - 2c + 6

Combine like terms

6c+18-12b

Let b=2  c=-3

6(-3) +18-12(2)

-18 +18 -24

-24

Question : A scale model of a tower is made using the scale 1 in=4ft. If the height of the scale
model is 20 in, what is the height of the tower?

Answers

Answer:

80ft

Step-by-step explanation:

1ib=4ft, multiply by 20 both sides and you will get 20in=80ft

What is the slope of the line below is -5. Which of the following is the point-slope form of the line?

Answers

Answer:

[see below]

Step-by-step explanation:

Point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

(x1, y1) - a point

m - slope

We are given the point of (2, -7), and the slope of -5.

[tex]y-y_1=m(x-x_1)\rightarrow y-(-7)=-5(x-2)\rightarrow\boxed{y+7=-5(x-2)}[/tex]

Hope this helps.

What is the circumference of a circle with an area of 50.24

Answers

Answer: C=25.12

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12[/tex]

2/3=(x+7)/3x
Its for my summer math, and I have forgot how to do these types of problems. please help
30 POINTS!!

Answers

Answer:

x = 7

Step-by-step explanation:

I reversed it for easy viewing:

(x+7)/3x = 2/3

<=> (x + 7).3 = 2.(3x)

<=> 3x + 21 = 6x

<=> 21 = 6x - 3x

<=> 3x = 21

<=> x = 7

2/3 = (x+7) /3x

Cross multiply:

2(3x) = 3(x+7)

Simplify:

6x = 3x + 21

Subtract 3x from both sides:

3x = 21

Divide both sides by 3:

X = 7

Answer: x = 7

Find the first four terms in the sequence
an 15 + 6n

A. 21, 27, 33, 39
B. 18, 12, 6,0
C. 20, 26, 32, 38
D. 20, 14, 8, 2

Answers

Answer:

A. 21, 27, 33, 39

Step-by-step explanation:

an =15 + 6n

Let n=1  

a1 = 15 +6(1) = 15+6 = 21

Let n=2  

a2 = 15 +6(2) = 15+12 = 27

Let n=3  

a3 = 15 +6(3) = 15+18 = 33

Let n=4  

a4 = 15 +6(4) = 15+24 = 39

Answer:

A

Step-by-step explanation:

You do not know where n starts. Is it 1 or zero or something else. Raise your hand and complain.

I'll assume that n = 1 to start with

n = 1

15 + 6(1) = 21

n = 2

15 + 6(2) = 15 + 12 = 27

n = 3

15 + 6* 3 = 33

n = 4

15 + 6*4 = 39

please help me is for my homework​

Answers

Answer:

96% Davided by a 100.

Step-by-step explanation:

96/100

= 0.96

write the equation for each word sentence and solve 2 problems.

problem one : 12 more than a number is 20

problem two: The sum of a number and eight equals the sum of four times the number and six.

Answers

Answer:

1. 12 + x = 20        2. x + 8 = 4x + 6

Step-by-step explanation:

problem 1 :      

12 + x = 20

problem 2:

x + 8 = 4x + 6

help me please asap it's important​

Answers

Answer:

6250cubic meters

Step-by-step explanation:

To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base. A=625; H=30 (given)

V= 625(30/3) = 6250

write 1042000 000 m+ in scientific notification​

Answers

Answer:

1.042 × 109

Step-by-step explanation:

you have to move the decimal from the zero.

A student states that the translation of triangle ABC is A’B’C’. What measurements or properties of lines AA', BB', and CC' do you need to confirm that it is a translation? :D

Answers

If you can show that the following two items are true

AA' = BB' = CC'AA' || BB' || CC'

then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.

NEEDED ASAP will MARK THE CORRECT ONE

Answers

Answer:

→ m∠ABE + m∠EBC =180°

→ m∠ABF + m∠FED + ∠DBC =180°

→ ∠ABF ≅ ∠EBC

→ ∠ABE ≅ FBC

~OAmalOHopeO

Other Questions
What is the lowest possible temperature?a 273 Kb absolute zero Cd 100 C A new restaurant sells cheeseburgers for 6$, french fries for 3$, and salads for 8$ On opening night, the restaurant sold items and made 1070$. They sold 4 times as many fries as salads. How many cheeseburgers were sold? Eric and Shiloh each have a savings account. The ratio of Erics account balance to Shilohs account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Erics account. [Type your answer as a number.] Bonita Real Estate received a check for $28440 on July 1 which represents a 6 month advance payment of rent on a building it rents to a client. Unearned Rent Revenue was credited for the full $28440. Financial statements will be prepared on July 31. Bonita Real Estate should make the following adjusting entry on July 31: A. Debit Cash, $28440; Credit Rent Revenue, $28440. B. Debit Rent Revenue, $4740; Credit Unearned Rent Revenue, $4740. C. Debit Unearned Rent Revenue, $4740; Credit Rent Revenue, $4740. D. Debit Unearned Rent Revenue, $28440; Credit Rent Revenue, $28440. Job A3B was ordered by a customer on September 25. During the month of September, Jaycee Corporation requisitioned $1,700 of direct materials and used $3,200 of direct labor. The job was not finished by the end of September, but needed an additional $2,200 of direct materials in October and additional direct labor of $5,700 to finish the job. The company applies overhead at the end of each month at a rate of 200% of the direct labor cost. What is the amount of job costs added to Work in Process Inventory during October Given the triangle shown below, what is the cosine of the angle 0 ?triangle trig image 1O Vx/VO Vx/VyO Vy/VxO Vy/ Which division problem does the number line best illustrate Select the correct answer.The domain of function ris(-00,-7) U (-7,5) U (5,00), and the value of the function approaches 1 as x approaches -oo and co. Which functioncould be function ?O A f()=='.f(t)= 22 + 25 352: - 35OC (0)12 - 35 15:2 + 25 - 352 + 25 - 35OD.f(t) = -2- 3. - 15ResetNextmentum. All rights reserved.Sign out Select the expression that shows the distributive property applied to13(2+9).18 of 29 QUESTIONS13(9+2)13. 2+ 913. 2+ 13.913. 2+ 2.9 Find the AAS postulate? Complete the sentence. Remember to spell correctly.Maria wants to show that her character has learned never to steal again, after having to go to court. She should include this detail in the action of the story. A 70-kg astronaut (including spacesuit and equipment) is floating at rest a distance of 13 m from the spaceship when she runs out of oxygen and fuel to power her back to the spaceship. She removes her oxygen tank (3.0 kg) and flings it away from the ship at a speed of 15 m/s relative to the ship.Required:a. At what speed relative to the ship does she recoil toward the spaceship?b. How long must she hold her breath before reaching the ship? A cell membrane is bigger a specific about what allows across how does this help the cell If a quantity of this substance existed as a solid at a pressure of 0.75 atm and a temperature of 50C, what phasechange(s) would occur if the temperature increased to 500C?a. Freezing and depositionb. Melting and freezingc. Condensation and sublimationd. Melting and vaporization write any two features of capital I could really use some help Which of these is the responsibility of public health?A. Disease diagnosisB. SurgeryC. Food inspectionD. Self-exams for breast and testicular cancer How to change the decimal 4.5 into a fraction Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!! A person can see the top of a building at an angle of 65. The person is standing 50 ft away fromthe building and has an eye level of 5 ft. How tall is the building to the nearest tenth of a foot?O 107.2 ftO 112.2 ftO 50.3 ftO 26.1 ft