Verify the equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

Answers

Answer 1

Answer:

True.

Step-by-step explanation:

given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

1. manipulate the right side by using trigonometric identities

(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))

2. manipulate the right side by using trigonometric identities

(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))

Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.


Related Questions

What is the domain and range of this graph?
(Pls don’t answer if you don’t know I rly need help<3 )

Answers

Answer:

Domain is all real numbers. Range is [36- negative infinity]

Answer fast plsssssss

Answers

Answer:

i cat see it

Step-by-step explanation:

Find the value of X.

Answers

Step-by-step explanation:

All of the angles in a triangle add up to 180. Since we know that the box in the left corner is 90° because it is a right angle then we just need to find x

2x+90=180

subtract 90

2x=90

divide by 2

x=45

Hope that helps :)

Answer:

Step-by-step explanation:

The two xs are contained in the same triangle.

Every triangle has 180 degrees.

2*x + 90 = 180                  Subtract 90 from each side

2x +90 - 90 = 180 - 90

2x = 90                             Divide by 2

2x/2 = 90/2

x = 45

Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below.

Answers

Answer:

1196 cm3

Step-by-step explanation:

Answer:

1196

Step-by-step explanation:

please answer this for me?

Answers

Answer:

n/a

Step-by-step explanation:

how does it feel

From the equation, find the axis of symmetry of the parabola.
y = 2x^2 + 4 x - 1

a. x = 3
b. x = -1
c. x = -3
d. x = 1

PLEASE HURRY!!! WILL MARK AS BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

Ur welcome

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rectangle.

Answers

Answer: [tex]4\times 3.5\ ft^2[/tex]

Step-by-step explanation:

Given

area of the rectangle is [tex]A=14\ ft^2[/tex]

Suppose width is given by w

So, length is [tex]l=2w-3[/tex]

The area of a rectangle is [tex]A=l\times w[/tex]

putting values

[tex]\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft[/tex]

length is [tex]l=4\ ft[/tex]

Need actual help (please hurry)

Answers

a. n=5
20=4n
29/4=n
5=n

5) (3a + 1) - (4 + 2a)

Answers

Answer:

5a - 3

Step-by-step explanation:

3a + 2a = 5a

1 - 4 = -3

5a + (-3) or 5a - 3

Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.

Find the expected number of red counters selected.

Answers

Answer:

1.4

Step-by-step explanation:

Probability of selecting a red counter :

Number of red counter / total number of counters

5 / (5 + 3) = 5 /8 = 0.625

Probability of selecting a blue counter = 0.375

Let number of red counters :

0, 1 or 2

0 red counters :

Expected value = x * p(x)

0 + (0.625*1) + (0.390625 * 2)

0 + 0.625 + 0.78125 = 1.40625

Expected number of red counters = 1.4

Shoulda let me have you i coulda made you so happy but ion do 2nd chances, forever i wish u happiness PERIODT DOE.


now its time to make bankk

Answers

Period !!!!! Get that bread.

Answer:

periodttt. get out ya bag n make det money up.

Step-by-step explanation:

brainliestt:)?

The population of a city is 100,000 and the annual growth rate is of 4.2%. Write an equation to model the population y after x years.

Answers

Answer:

y= 100,000*(1.042^x)

Step-by-step explanation:

Giving the following information:

Present Value= 100,000 people

Growth rate (g)= 4.2% per year

To calculate the future value (y) of the in any given year (x), we need to use the following formula:

y= PV*(1 + g)^x

y= 100,000*(1.042^x)

For example, for 5 years:

y= 100,000*1.042^5

y= 122,839.66 = 122,839

Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead?

Answers

Answer:

If they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Step-by-step explanation:

Given that Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark, to determine how much shorter would their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead the following calculation must be performed, using the Pythagorean theorem:

14 ^ 2 + 48 ^ 2 = X ^ 2

196 + 2,304 = X ^ 2

√ 2500 = X

50 = X

14 + 48 - 50 = X

62 - 50 = X

Thus, if they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Let x be an even integer. What is the product of the next two consecutive even integers?

O x^2+2x+4
O x^2+6x+8
O x(x+1)(x+2)
O x^2+3x+2​

Answers

Answer:

The desired product is (x + 2)(x + 4).

Step-by-step explanation:

If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.  

The desired product is (x + 2)(x + 4).

Question 7: The red line has an equation of y = -1/2 x + 2. The blue line is perpendicular to the red line. Write the equation for the blue line. EXPLAIN PLS

Answers

Answer:y=2+2x

Step-by-step explanation:

Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2

Please please help please

Answers

Yikes i dont know this but thanks for the coins C:

1. Identify the Parent function related to the given function. Choose the correct answer from the choices below:
f(x)=1/2x-9 4/5
Linear Function
Not a Function
Absolute Value Function
Quadratic Function

Answers

I believe it’s linear because it’s in y=mx+b form

Help this is clever 8.4 I need this by 7

Answers

Answer:

Just do 8.4 times 7

Step-by-step explanation:

8.4 times 7 = 58.8

The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help

Answers

Can you post a picture?

It would make it so much easier.

James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?

Answers

Answer:

James will spend $119.94

Step-by-step explanation:

Multiply $19.99 by 6.

$19.99 x 6 = $119.94

Solve for z. -2 (52 - 4) +62 = -4​

Answers

Answer:

if you learned, PEMDAS then it be easier! soo I'll help.

Step-by-step explanation:

-2 ( 52- 4 ) is 48. 48 + 62= 110

if that's wrong, then I'm sorry!

1

62

48

——

110

Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m – 6
2. 4m + t
3. r/t
4. mt
5. 5t + 2m
6. rm
7. 3m – 5t
8. mr/t

PEEEEASSSSEEEE HELP!!!! :(

Answers

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

Answer:

1,5(7)-6=29

2,4(7)+2=30

3,8/2=4

4,7*2=14

5,5(2)+2(7)=24

6,8*7=56

7,3(7)-5(2)=11

8,7*8/2=28

simplify this number 27:81​

Answers

Answer:

I believe the simplified form of this ratio is 1:3

*The common factor to both numbers is 27.

27÷27=1 and 81÷27=3

So, that's where the 1:3 came from

A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all

Answers

Answer:

5670 yards

Step-by-step explanation:

Length of first race = 2 miles

Since, 1 mile = 1760 yards

Therefore, 2 miles = 1760 × 2

                               = 3520 yards

Length of second race = 1300 yards

Length of third race = 850 yards

Total distance to be run by the horse = 3520 + 1300 + 850

                                                              = 5670 yards

I ask for your help fellow strugglers

Answers

Answer: C is false

Step-by-step explanation: If B is correct and C is saying otherwise that must mean it's the only false choice :) brainliest would be appreciated :)

Select the function that represents the simple interest formula.

A. A) = P(1 + )- 1, where n is a positive integer

O

B. A(n) = P+ (n-1);• P, where n is a positive integer

O

C. An) = n + (-1). P, where n is a positive integer

O

D. A(n) = (1 - 1)(P:n)', where nis any real number

Answers

Answer:

B. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to determine the simple interest formula is given below:

Simple interest = P×r × t

where

P denotes the principal

r denotes the rate of interest

And, t denotes the number of years

Now we replace i with the t

So,

SI = Pni

Now for n-1 years, the simple interest is

SI = P(n - 1)×i

So, the total amount would be

A(n) = P + (n - 1)i × P

evan has 4 chocolate bars with a total of 48 pices are in each bar

Answers

Answer:

what is your question? it seems the answer would be 12 just by looking at this, but still what is the question exactly?

Step-by-step explanation:

Answer: if you are dividing the answer will be 12

(i wrote two since it dosent say what we need to do

if you are multiplying you answer will be 192

hope it helped!

Step-by-step explanation:

4x + 14 = 4x + 24 its to hard for me

Answers

Answer:

x=10

Step-by-step explanation:

i think the answer is x = 10

pls help will mark brainlest

Answers

Answer:

(5,7) , (2, -3) , (2,4)

Step-by-step explanation:

your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept

Write down an expression for the perimeter of a rectangle. With length-L and width-W given your answer.​

Answers

Answer:

[tex]2l + 2w[/tex]

Step-by-step explanation:

We know that a rectangle has four sides. And each pair of opposite sides are equal. We can set the length to [tex]l[/tex] and the width to [tex]w[/tex]. Since we know that both variables have a side that is equal to it, we know that the sum of the sides is[tex]l+l+w+w = 2l + 2w[/tex].

Other Questions
PLS HELP ILL MARK AS MY BRAINLESS 3 (x + 1 ) = 33 solve for x Explain from either Catholic Christianity and Judaism or two Christiantraditions, beliefs about the origin of evilThank you :) Please help!! -Why was the United States trying to take over these countries ( GuamCuba, Phillipines) What was the result of Achilles anger for the Achaeans?a.countless illsc.great conquestsb.deathd.none of thesePlease select the best answer from the choices providedABCD A homeowner called in a painter to paint the bedroom walls and ceiling. The bedroom is 15 ft. long, 12 ft. wide, and 10 ft. high. The room has two doors each 3 ft. by 8 ft. and three windows each 3 ft. by 5 ft. The doors and windows do not have to be painted. A gallon of paint can cover 300 square feet. How many gallons of paint must he use?Show all of your steps What is move-in costs and what might be included in move-in costs? Describe this sampling method: "Survey the first 40 students who enter the mainoffice". Ma Bernier has 52 cats and dogs in her house the number of cats is three times the number of dogs how many cats and dogs are in the house Eleven increased by three times a number equals 68) Write an equation for this situation and then find thenumber Robert wrote 27 checks in April. The bank charges $0.18 a check. The monthly service charge for the checking account is $7. What is the total of the fees Robert pays in April on his checking account? B. IDENTIFICATIONDirection: Write TRUE if the statement is correct and FALSE if it is not.6. Multimedia is a broad term for combining multiple media formats.7. Multimedia comes only in a single format making its use exclusive and practical.8. Even without the aid of multimedia, an explanation about a certain subject can be still lively andanimated.9. Video presents moving pictures and typically combines images and sound for a compelling multimediaexperience.10. Text is still a primary way to transmit information, although nowadays, it is also used to augment otherforms of communication, such as a text description of a photograph. 3. Your friend shows you a scale drawing of her apart-ment. The drawing of the apartment is a rectangle4 inches by 6 inches. Your friend wants to know thelength of the shorter side of the apartment. If sheknows that the length of the longer side of the apart-ment is 30 feet, how many feet long is the shorter sideof her apartment? how would you describe an episode of manic behavior (mania) List the factor pairs of ac for the trinomial 12x^2-5x-2. heyyyy can u help me for this task? :""") 7. During DNA replication, a complementary strand of DNA is made for each original DNA strand. Thus,if a portion of the original strand is CAGGTTACG, then the new strand will bea. CAGGTTACG.c. GTCCAATGC.b. GTCCTTAGC.d. GTCCTTACG. Name the two different types of translatory motion and explain each in brief Which of the following results when most or all of the neutrons released in afission reaction encounter other nuclei? Lil' Biggy still raps about the streetshe now lives in an extravagant mansion.