How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B

Thanks and please shows steps. I will vote best answer and helpful and do more.

Answers

Answer 1

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

                        = (1/cosB)(1/sinB)

 

                        = (secB)(cscB)


Related Questions

A bag contains 14 blue marbles, 10 red marbles, and 6 yellow marbles.
If Henna randomly draws a marble from the bag (and puts it back) 25 times, how many
times should she expect to pull a yellow marble?

Answers

Answer:

5

Step-by-step explanation:

14+10+6= 30 (6/30 = 0.2) 0.2 x 25=5

Jenny has 12 bottles of iced tea in her cooler. If there are 6 liters of iced tea in all, how many milliliters does each bottle contain? Enter your answer in the box. milliliters

Answers

Answer:

1000

Step-by-step explanation

1 liter always equals 1000 milliliters

Answer:

it is 500

Step-by-step explanation:

I need to solve for x btw these are corresponding angles ​

Answers

Step-by-step explanation:

As we know corresponding angles are equal so

6x - 100° = 2x + 4° < being corresponding angles>

6x - 2x = 100 ° + 4°

4x = 104°

x = 104° / 4

x = 26°

Hope it will help :)❤

If x = 5 & y = 3 what is 3x + 5y?

Answers

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

SOMEONE HELP ME I NEED IT

Answers

Answer: (D)

your answer will be 3

Step-by-step explanation:

have a nice day

Answer:

D) 3

Step-by-step explanation:

[tex]y+\frac{y-3}{3}[/tex]   |  

[tex]\frac{4y-3}{3}[/tex]

[tex]\frac{3y+(y-3)}{3}[/tex]   |  

[tex]\frac{15+18}{27y}[/tex]

[tex]\frac{3y+y-3}{3} = \frac{4y-3}{3} *\frac{27y}{33}[/tex]

[tex]\frac{4y-3}{3}[/tex]          

[tex]\frac{(4y-3)(27y)}{3x33}[/tex]

Common denominator:- 3

✧༝┉┉˚*❋ ❋ ❋*˚┉┉༝✧

hope it helps...

have a great day!!

400x60x80x678x56x45x5435

Answers

1.7829165e+16

Step-by-step explanation:

Does anyone know how to solve this?

Answers

Answer:

The correct option is c.

Step-by-step explanation:

Given that,

u = 7i+4j and v = 2i-3j

We need to find the product of u and v. The dot product of two vectors is given by :

[tex]u{\cdot}v=(7i+4j){\cdot} (2i-3j)\\\\=(7i)(2i)+(4j)(-3j)\\\\=14-12\\\\=2[/tex]

So, the dot product of u and v is equal to 2.

Grandpa made 60 cookies. His grandkids ate 36 of the cookies. Grandma ate 18
cookies. How many cookies are left?

Answers

Answer:

The answer is 6

Step-by-step explanation:

60-36-18=6

What is... 5 x 2? this is for easy points

Answers

Answer:

Yay, 10

Step-by-step explanation:

Im on time thanks!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 2 \\ = 10[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

PLEASE HELP ILL GIVE EXTRA IF ITS RIGHT I SWEARRRRRRRRRRRRRRRRRRRRRR

Answers

Answer:

21

Step-by-step explanation:

1. What is 1.5 hours in hours and minutes

Answers

Answer:

1 hour and 30 minutes

In hours 1.5h, 1 and half an hour

In minutes :

1hour=60 minutes

half an hour=30 minutes

so 60+30=90 minutes

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!

Please answer quickly, do NOT show work.

Answers

Answer:

9.6

Step-by-step explanation:

Answer: 9.6 is your answer

Explanation

f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3 2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3

Answers

Answer:

im confused. what math structure is this

Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.
A. 24cm^2
B. 48cm^2
C. 12cm^2
D. 42cm^2

Answers

Answer: the answer is B :)

Jerry built a 2 inch cube to hold his marble collection. He wants to build a cube with a volume 8 times larger. How much will each edge measure?

Answers

Answer:

4 inches

Step-by-step explanation:

Jerry built a 2 inch cube to hold his marble collection.

Volume of this cube = 2³ = 8 cubic inches

He wants to build a cube with a volume 8 times larger.

Hence: 8 × 8 in³ = 64 in³

The measurement of each edge is calculated as:

√64 in³ = 4 inches

The sum of 2 numbers is 27. The larger number is 3 times more than the smaller number. What are the numbers?

Answers

Answer:

The first number is 6.75

The second number is 20.25

Step-by-step explanation:

I went into decimals

I need help ASAP Will mark brainliest!!!!

Answers

Answer for every 2 weeks the plant grows 3.38 cm

Step-by-step explanation: becouse on the secound week thats how much it grew

WILL GIVE BRAINLIEST! NEED INSTANT HELP!
The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.

Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s

Answers

Answer:

Step-by-step explanation:

monke is  monke is smart monke rip banana apart s=16

Determine if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

they are not congruent

Step-by-step explanation:

the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.

75=(4x-25)

What is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

75 = (4x - 25)

Since there are no numbers outside of the parentheses, we can remove them.

75 = 4x - 25

Now we can see that we can add 25 to both sides.

100 = 4x

Divide both sides by 4 to isolate x.

25 = x

Check by plugging in the value into the original equation.

75 = 4(25) - 25

75 = 100 - 25

75 = 75

Your answer is correct.

Hope this helps!

can someone help me please
True or false

Answers

Answer:

True

Step-by-step explanation:

HELP!!! PLEASE!!!! 55 POINTS!!!!
What is a point-slope equation of the line with slope -12 that goes through the point (5,3)?

Answers

Answer:

D. y - 3 = - 12 ( x - 5)

Step-by-step explanation:

Given

Slope (m) = - 12

Point = ( 5 , 3 ) = ( x1 , y1)

Now

Writing in point-slope equation we get

y - y1 = m( x - x1)

y - 3 = - 12 ( x - 5 )

Hope it will help :)❤

Can some one help me with this

Answers

Answer:

273/1000

Step-by-step explanation:

Solve. 20/n+10 = 10/n+20 n = -10 n = -20 n = 30 n = -30

Answers

Answer:

20/n+10 = 10/n+20 n

multiply both side n,

n (20/n+10) = n(10/n+20 n)

20+10n = 10+20n^2

20+10n -20 = 10+20n^2 -20

10n  = 20n^2 -10

10n  - 10n  = 20n^2 -10 -10n

0 = = 20n^2 -10 -10n

20n^2 -10 -10n = 0

n = 1 or n = -0.5

Step-by-step explanation:

Mr. Cullen needs 91 carpet squares. He has 49 carpet squares. If the square are sold in boxes of 6, how many more boxes of carpet squares does Mr. Cullen need to buy?

Answers

7 more boxes 7X6=42 42+49=91

(order doesn't matter)

Answers

Answer:

Because there are 4 ways to pick red then 4 (C)

Answer:

it looks like it would be C

Step-by-step explanation:

Please make sure the answer is right I only have 6 questions help?

Answers

Answer:

i told you the answer is -8

Answer:all

recall that the inside angles of a triangle add up to 180

Step-by-step explanation:

now add up all the angles and make it equal to 180 :)  

as follows

X+58+45+85 = 180

now use algebra ... and solve for X  :)

X = 180-58-45-85

my calculators tells me....

X = -8

what does that answer mean?

it's saying ... like this   58-8    is that angle.. does that help    ? :)

Wyatt makes and sells rope doormats. He uses 200 feet of rope for each doormat. He wants to make 25 doormats. Which expression shows a correct way to find how many yards of rope he needs?

Answers

Answer: See explanation

Step-by-step explanation:

First and foremost, we should not that:

1 yard = 3 feet

We are informed that Wyatt uses 200 feet of rope for each doormat and that he wants to make 25 doormats.

The expression that shows a correct way to find how many yards of rope he needs will be:

= (200 × 25) / 3

= 5000/3

= 1666.67 yards

Bill and his dad are building a deck on the back of their house. The scale on the building plan is 1 in. = 4 ft. If the length of the deck on the plan is 3.5 in., how long will the actual deck be? Length of deck = ft

Answers

Answer:

14 feet

Step-by-step explanation:

4 x 3 = 12ft

4 / 2

2

2 + 12

answer is 14 ft

Answer:

14 feet got it right on the test

Step-by-step explanation:

The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.


Answers

Given:

The equation is

[tex]y=21.2x[/tex]

Where, y is earnings for working in dollars and cents and x is the number of working hours.

To find:

The rate of change.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]          ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=21.2x[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]m=21.2[/tex]

Therefore, the rate of change is 21.2 dollar and cents per hour.

Other Questions
Based on the "Heating Curve for Wax," what is the boiling point for wax?255C50C340C155C The school principal wants to know whether the students in the entire school prefer football or basketball. The principal draws a random sample from the following groups: . All school teachers . All girls in each grade All students in each grade All students on the basketball team Which of the following groups best represents the population she should take a random sample from to get the best results for her survey? (1 point) 1) All school teachers 2) All girls in each grade 3) All students in each grade 4) All students on the basketball team will give brainliest and five stars Which is one factor that increases the speed of a sound wave? A. higher temperature B. lower temperature C. traveling in a liquid rather than a solid D. traveling in a gas rather than a liquid Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool? What question was rised in the trial of Susan B. Anthony? Which of the following tables accurately represents the data shown in the bar graph?Candy Number of PeopleChocolate 10Hard Candy 12Chewy Candy 8Candy Number of PeopleChocolate 10Hard Candy 12.5Chewy Candy 8.5Candy Number of PeopleChocolate 10Hard Candy 13Chewy Candy 9Candy Number of PeopleChocolate 10Hard Candy 14Chewy Candy 10NEXT What are uses of metals??Instructions:1. Do not give the invalid answer.2. I want full correct answer with full explanations. 6 )Which democratic concept encouraged Ancient Greek citizens to share in the responsibility of governing the polis?Avoting rightsBcivic participationCrule of lawDdemocracy Find the length of the missing side. Leave your answer in simplest radical form. 63 : 21 = __ : 3I need help pls a quick answer would be great. Thanks! why can many ecosystems exit in one biome? Define the following :-self-concept -self motivation -volunteer -self-image -Adolescents pls i need help with this math question what is 17 - 12 Which theorem is the following?"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment" which of the following solutions is the most acidic A. a solution is the most acidic B. a solution with pH of 2 C. a solution with pH of 7 D. a solution with a pH of 9 what was the effect of the Texas Revolution The Importance of Being EarnestLady Bracknell. [Sitting down again.] A moment, Mr. Worthing. A hundred and thirty thousand pounds! And in the Funds! Miss Cardew seems to me a most attractive young lady, now that I look at her. Few girls of the present day have any really solid qualities, any of the qualities that last, and improve with time. We live, I regret to say, in an age of surfaces. [To Cecily.] Come over here, dear. [Cecily goes across.] Pretty child! your dress is sadly simple, and your hair seems almost as Nature might have left it. But we can soon alter all that. A thoroughly experienced French maid produces a really marvellous result in a very brief space of time. I remember recommending one to young Lady Lancing, and after three months her own husband did not know her.Jack. And after six months nobody knew her.Lady Bracknell. [Glares at Jack for a few moments. Then bends, with a practised smile, to Cecily.] Kindly turn round, sweet child. [Cecily turns completely round.] No, the side view is what I want. [Cecily presents her profile.] Yes, quite as I expected. There are distinct social possibilities in your profile. The two weak points in our age are its want of principle and its want of profile. The chin a little higher, dear. Style largely depends on the way the chin is worn. They are worn very high, just at present. Algernon!Algernon. Yes, Aunt Augusta!Lady Bracknell. There are distinct social possibilities in Miss Cardews profile.Algernon. Cecily is the sweetest, dearest, prettiest girl in the whole world. And I dont care twopence about social possibilities.Lady Bracknell. Never speak disrespectfully of Society, Algernon. Only people who cant get into it do that. [To Cecily.] Dear child, of course you know that Algernon has nothing but his debts to depend upon. But I do not approve of mercenary marriages. When I married Lord Bracknell I had no fortune of any kind. But I never dreamed for a moment of allowing that to stand in my way. Well, I suppose I must give my consent.Algernon. Thank you, Aunt Augusta.Lady Bracknell. Cecily, you may kiss me!Cecily. [Kisses her.] Thank you, Lady Bracknell.Lady Bracknell. You may also address me as Aunt Augusta for the future.Cecily. Thank you, Aunt Augusta.Lady Bracknell. The marriage, I think, had better take place quite soon.Algernon. Thank you, Aunt Augusta.Cecily. Thank you, Aunt Augusta.Lady Bracknell. To speak frankly, I am not in favour of long engagements. They give people the opportunity of finding out each others character before marriage, which I think is never advisable.Jack. I beg your pardon for interrupting you, Lady Bracknell, but this engagement is quite out of the question. I am Miss Cardews guardian, and she cannot marry without my consent until she comes of age. That consent I absolutely decline to give.Lady Bracknell. Upon what grounds may I ask? Algernon is an extremely, I may almost say an ostentatiously, eligible young man. He has nothing, but he looks everything. What more can one desire?Jack. It pains me very much to have to speak frankly to you, Lady Bracknell, about your nephew, but the fact is that I do not approve at all of his moral character. I suspect him of being untruthful. [Algernon and Cecily look at him in indignant amazement.]Lady Bracknell. Untruthful! My nephew Algernon? Impossible! He is an Oxonian.Jack. I fear there can be no possible doubt about the matter. This afternoon during my temporary absence in London on an important question of romance, he obtained admission to my house by means of the false pretense of being my brother. Under an assumed name he stayed to tea, and devoured every single muffin. And what makes his conduct all the more heartless is, that he was perfectly well aware from the first that I have no brother, that I never had a brother, and that I dont intend to have a brother, not even of any kind. I distinctly told him so myself yesterday afternoon.Lady Bracknell. Ahem! Mr. Worthing, after careful consideration I have decided entirely to overlook my nephews conduct to you.Jack. That is very generous of you, Lady Bracknell. My own decision, however, is unalterable. I decline to give my consent.Question 1Part AIn The Importance of Being Earnest, which type of character is Jack?staticdynamicroundflatQuestion 2Part BWhat is Jack's role in the play? He is complex and makes an impression on the reader.He one dimensional and serves to support the main character.His behavior changes by the end of the play.He is the most undeveloped of all the characters. In what ways has a social group positively influenced your behavior? Check all that apply.volunteering in your communityeating healthy foodexercising regularlybeing kind to a classmate who was being bulliedwelcoming new studentsworking hard to do well on a test or assignmentparticipating in school activities Its question 2 Help