Write [tex]cot^{2} x (1+tan^{2} x)[/tex] Then simplify the expression so no quotients appear

Answers

Answer 1

Step-by-step explanation:

From Trig

1 + tan²x = Sec²x

Also

Sec²x = 1/cos²x

Now

Cot²x = 1/tan²x = cos²x/sin²x

Putting all together

Cot²x(1+tan²x)

= Cot²x(sec²x)

= cos²x/sin²x(1/cos²x)

cos²x on the numerator and that one the denominator cancels out

we have

= 1/sin²x

From Trig

1/sin²x = cosec²x

So Our Answer = cosec²x.


Related Questions

Someone please help will mark as brainliest

Answers

Answer:

A) [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The graph goes up 3, to the right 5 between the two points, making the slope [tex]\frac{3}{5}[/tex].

PLEASE HELP!! WILL GIVE BRAINLIEST FOR FIRST TO SHOW STEPS!

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

A. 18
B. 5
C. 15
D. 8

Answers

Answer:

c. 15

Step-by-step explanation:

20 - 15 + 5

35 - 15(2)

35 - 30 = 5

Answer is C, set them equal to each other.

Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked​ together?

Answers

Answer: About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40  

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

20a³-20a²+5a=?
-9x²+6x-1=?
-12a²+24ma-12m²=? 6a²-24a⁴+24a⁶=?
7x²+7y⁴-14y²=?​

Answers

Answer:

5a^6,-3x^3-1

Step-by-step explanation:

we subtract the base and add the exponent


What is the value of 6n
2 when n =3?

Answers

Answer:

54

Step-by-step explanation:

6n²

= 6(3)²

= 6(9)

= 54

Which of the following lists is in order from smallest to largest?

0.2, 0.05, 0.48, 0.6
0.2, 0.48, 0.05, 0.6
0.05, 0.2, 0.6, 0.48
0.05, 0.2, 0.48, 0.6

Answers

Answer:

0.05, 0.2, 0.6, 0.48 I think

Answer:

0.05,0.2.0.60,0.48

Step-by-step explanation:

hope it helps ... kinda confused betwweeen 0.6 and 0.48

Represent 300 as an exact value in lowest form
0912
o 11/4
O
1073
0 65

Answers

Answer:

10√3

Step-by-step explanation:

Square the first number

100*3 is 300

100 is square root of 10

Greg uses a triangular area of his back yard as a garden.If the area if his garden 1.248 square feet,whats the area of the garden?

Answers

Answer:

192 ft²

Step-by-step explanation:

Area of rectangular backyard = 1248 ft²

Width of backyard = 52 ft

Length = x

Area of rectangular backyard = Length * width

1248 = x * 52

x = 1248 / 52

x = 24 feets

Hence, x = height of triangular garden

Area of triangle = 1/2 base * height

Area = 1/2 * 16 * 24

Area = 192 ft²

Isaac finished eight of the ten homework problems. Phil has finished of the homework. How many more problems did Isaac finish?​

Answers

Answer:

-2

Step-by-step explanation:

If Issac has finished 8/10 problems in the homework, and Phil has completed all of it, it can be concluded that Phil completed 10/10. 10/10 would equal a whole, or in this case, the entire homework. If Issac completed 8 problems, and Phil completed 10, subtract both values to find that Issac completed -2 more problems than Phil.

*correct me if I'm wrong, or If I didn't fully understand your question, because I am a little confused with how much homework Phil has finished.

HELP!!!!! PLEASE AND THANK YOU

Answers

by solving with oenqdas 3 is ur answrr

Answer:

The 3rd one is correct

(7.5 + 3) x 6 - 4)

what is the area of a rectangle with sides of 4 inches by 8 inches​

Answers

Answer:

32

Step-by-step explanation:

[tex]4 \times 8 = 32[/tex]

ANSWER: 32 in2

To find the area of a rectangle multiply the Length by the Width. The length is 8 and the width is 4.

8 x 4 = 32

Hope this helped!

PLEAAAAAAASEE HEEEEELP

Answers

Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=36

x=6

Answer:

x=6

Step-by-step explanation:

So, lets go over what we know.

Angle 5x and angle x+54 make up 90 degrees.

We know its 90 degrees since there is a square like symbol on the side of the line.

To sovle for x, we must add the two angles together. This will make them equivelent to 90 degrees.

So:

5x+x+54=90

=

6x+54

Now that we combined our two angles, we can solve it like a normal equation:

6x+54=90

subtract 54 from both sides to get 6x alone:

6x=36

Now divide both sides by 6 so x is alone:

x=6

So now we know that x=6.

If you wan to check your answer, just look at the orginal graph, plug in 8 for x, and see if the two angles add up to 90:

Angle 5x:

5*6

=

30

Angle x+54

6+54

=

60

Add the two angles together:

30+60

=

90

So we have checked and the answer is still correct!

Hope this helps! :D

HELPPPPP FAST!!!
Find the volume, round your answer to the nearest tenth.
9 yd
7 yd

Answers

The answer is 115.5. Let me know if you need me to explain

Answer:16

Step-by-step explanation:

HELP PLEASE!! VERY FAST!!

Answers

Answer:

the correct answer is option B. V only

Shoes that normally cost $79.99 are on sale for
15% off. What is their sale price?

Answers

$79.99 - 15% = $67.9915

...........,..................................

79.99x(1-15%)=67.99 (corr. to 2 decimal places)

Which equation can be used to solve for r in the following diagram?
60°
V
(4x – 20)

Answers

Answer:

c.

Step-by-step explanation:

60= (4x - 20)

expl: vertically Opposite angles

Someone please please help me with those 2

Answers

Answer:

29, 7

Step-by-step explanation:

Range is largest num - smallest num

33-26 = 7

Mode is most common number:

29

The answer for this question is 29

cosine angle B (geometry, right triangles- giving brainliest and thanks to all!)

Answers

Answer:

10/6 is the answer

cosine=hypotenuse/opposite

Step-by-step explanation:

HELP DUE IN 5 MINUTES
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends
Which equation can he use to find p, the number of pencils each friend will receive?
p+6=30
p-36=30
6p=30
p/6=30​

Answers

Answer:

6p=30

Step-by-step explanation:

Jayna used the distributive property to simplify the expression 4(a + 2) and got(4a + 2). Do you agree with Jayna?

Answers

Answer:

No

Step-by-step explanation:

I would not agree with Jayna because using the distributive property, you can get:

4(a + 2) = 4(a) + 4(2) = 4a + 8

Jayna did not get the right answer because she did not distribute the 4 to the 2 in a + 2 and she only multiplied a by 4.

What is the value of X?

Answers

Answer:

30

Step-by-step explanation:

What is the surface area of this composite solid?

Use 11.3 meters for the slant height of the triangular prism.

Enter your answer in the box.


__m²
Composite made up of a rectangular prism surmounted by a triangular prism. The rectangular prism has dimensions of 16 meters wide by 20 meters long by 12 meters high. The triangular prism has dimensions of 16 meters wide by 20 meters long with a triangular altitude of 8 meters high.

Answers

SEE THE IMAGE BELOW (I REALLY HOPE THIS IS CORRECT!!!)

Answer:

1764 m²

Step-by-step explanation:

Refer to attached picture.

All given dimensions are given on the picture (not to scale).

Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:

[tex]b/2 = \sqrt{11.3^2-8^2} = \sqrt{64} = 8m, \\b = 16 m[/tex]

It has 9 faces and the total surface area is:

S = 16*20 + 2(20*12) + 2(20*11.3) + 2(16*12) + 2(1/2*8*16)  = 1764 m²

Graph y = 2x and y= 2x
What x-values are solutions to the system?

Answers

Answer:

Wait u gave the same equation twice, do u mind checking back to it?

Step-by-step explanation:

Might be B, sorry if I’m wrong

Please help me its an easy question and please show steps (will give brainiest)

Which function is best represented by this graph?

A. y = 1/2x + 6
B. y = −2x + 3
C. y = 2x + 6
D. y = −1/2x + 3

Answers

Answer:

d

Step-by-step explanation:

not a bc it has to be negative

not c bc its has to be negative

not b bc the slope is -1/2

IT'S D

Answer:

D

Step-by-step explanation:

from the picture, we know that the slope is negative to begin, since the line is going on a downward direction from left to right. this eliminated A and C instantly.

Now we also can see the graph crossed at 3 for the y intercept, which is another reason to eliminate A and C.

we must then find the show of the line.

let us use to point (0,3) since this is the y intercept and (6,0) since this is the x intercept. to find the slope, m, at must use the equation

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

so, let's label (0,3) as point 1 and (6,0) as point two. then,

x1 = 0

y1= 3

and

x2= 6

y2=0

Now we just plug in and simplify.

[tex] m = \frac{0 - 3}{6 - 0} = \frac{ - 3}{6} = - \frac{1}{2} [/tex]

we now have our slope and y intercept, so we can plug them into our equation

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

our equation is thus

[tex]y = - \frac{1}{2} x + 3[/tex]

so, the answer is D

a^-6 = I have no idea please help

Answers

Answer: [tex]\frac{1}{a^6}[/tex]

Step-by-step explanation:

When you want to solve something that has a negative exponent, turn it into a fraction.

a^-6

= [tex]\frac{1}{a^6}[/tex]

If you knew the value of a, you would solve it completely.

A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=30x+25
What does the number 30 represent in this situation?

Answers

The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

Let f(x) represent the total fee that a person pays for x months of membership. Hence:

f(x) = 30x + 25

The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.

Find out more on equation at: https://brainly.com/question/2972832

Un túnel se construye de manera que el claro sea un rectángulo de ancho X largo 2X. El concreto para sostenerlo en la parte de arriba tiene un espesor de 2M y a los lados un espesor de 1M. La superficie de la sección transversal del concreto es de 62 M2

Answers

Answer:

bfghfghhghsgssfhfgggggggggggStep-by-step explanation:

hghgsrhgtgthtrh

Someone please help 20 points!
please help me PLEASE

Answers

Answer:

The answers are A, B and C.

Step-by-step explanation:

To solve the inequality you first have to use Distributive Property. You should get -3k + (-21) > -57

Next Divide 21 on both sides. -57/21 is -36

You should have -3k > -57

Divide -3 on both sides. -57/-3 is 12

You should end up with k > 12

And you never used -5, 0 or 8 in the equation and the question asks to choose the following that isn't included in the solution so your answers are A, B and C.

Hope This Helps! ^^

Alice is searching online for tickets to a knicks game. Two weeks ago, the cost was $30. Now the cost is $39. What is the percent increase

Answers

Given:

Two weeks ago, the cost of tickets = $30

Now, the cost of tickets = $39

To find:

The percent increase.

Solution:

We have,

Initial value = $30

New value = $39

Formula for percentage increase is:

[tex]\%\text{increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Using this formula, we get

[tex]\%\text{increase}=\dfrac{39-30}{30}\times 100[/tex]

[tex]\%\text{increase}=\dfrac{9}{3}\times 10[/tex]

[tex]\%\text{increase}=3\times 10[/tex]

[tex]\%\text{increase}=30[/tex]

Therefore, the percent increase in the cost of tickets is 30%.

PLEASE HELPPPP !!!!!!!

Answers

Answer:

first

Step-by-step explanation:

(3;0)

y(3) = 2/3 * 3 - 2 = 0

(0;-2)

y(0) = 2/3 * 0 - 2 = -2

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