find the value of tan30+cot30+sin60​

Answers

Answer 1

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!


Related Questions

Please help 30 points

Answers

The answer to the equation is 298

como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5

Answers

Answer:

Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.

Le he proporcionado un cuadro a continuación, espero que ayude :)

There’s a button for the pic

Answers

A Multiply the input number by 6 because 2 times 6= 12, 6 times 6= 36, 8 times 6= 48, 9 times 6= 54, and 12 times 6= 72.

The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking

Answers

Answer:710

Step-by-step explanation:

pleaseee helppppp !!

Answers

Answer:

1. -9xy

2. 6ab

3.-8mn

4. 17nx

Step-by-step explanation:

A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answers

Answer:

She will not be correct

Step-by-step explanation:

Given data

Length=10in

Width=7in

Height=3in

The volume of the toolbox

V=10*7*3

V=210 in^3

Let us double the volume and see

2V= 210*2

   =420 in^3

Let us also double the individual dimensions

Length=20

Width=14in

Height=6in

V= 20*14*6

V=1680 in^3

Hence the volume will be different, she will not be correct

Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?

Answers

Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)

Write an exponential function in the form y=ab^x that goes through points (0,6) and (7, 768)

Answers

Answer:y=6(2)*x

Step-by-step explanation:

can someone please help me?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) 18.75

Step-by-step explanation:

As I said in the comments,

The question is asking for volume, so -

50 x 1.5 x 0.25 = 18.75

Hope this helped :)

2/5 meters= blank cm

Answers

Answer:

⅖ m = 40 cm

Step-by-step explanation:

1 meter = 100 cm

1 : 100 = 2/5 : y

1 × y = 100 × 2/5

y = 40

2/5cm=40cm this is the answer

Which triangles can be right?

equilateral triangle
scalene triangle
isosceles triangle
obtuse triangle

Answers

scalene

scalene

scalene

Answer:

answer is- isosceles triangle

12 more to go please help me

Answers

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

I’ll mark brainliest pleaseeee

Answers

Answer:

it is c 1440

Step-by-step explanation:

you multiply 8 times 10 get 80

then multiply 80 and 18 get  1440

AREA = 1440

Answer:

mark her as brainliest

Step-by-step explanation:

please thx

What choice below best explains why two Hydrogen atoms below would bond together?

Answers

Answer:

QUESTION:

What choice below best explains why two Hydrogen atoms below would bond together?

ANSWER:

covalent bond

The bond joining two hydrogen atoms in a hydrogen gas molecule is a classic covalent bond. The bond is easy to analyze because the hydrogen atoms only have one proton and one electron each. The electrons are in the hydrogen atom's single electron shell, which has room for two electrons.

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

A group of friends wants to go to the amusement park. They have no more than $415 to spend on parking and admission. Parking is $19, and tickets cost $36 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.

Answers

Answer:

p≤11

that's all i got from the delta math thing

On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?

Answers

Answer:

There are 125 very thin branches.

5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!

find the volume................

Answers

Answer:

[tex]1) v= 400 ft^{2}[/tex]

[tex]2) v=1093.3m^{3}[/tex]

Step-by-step explanation:

1) v= 1/3 ab ×h

v= 1/3 (10)(10)×√13²-5²

v= 400 ft²

-------------------

2) v= πr² h/3

v= 1/3 × π×(6)²×29

v= 1/3×π×12×29

v= 348π

v= 1093.27

≈1093.3

---------------

hope it helps...

have a great day!!

pls help me!! will give brainliest

Answers

Answer: (0,0)

If AB is translated right 5 units and down two then both points are translated by that amount.

A currently is (-5, 2)

x=-5 and y=2

Since youre going right by five your x value will increase by 5 so the point will instead be at x=0

Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0

x=0 and y=0

(0,0)

Answer: its 0,0

Step-by-step explanation:

Please Help!!!
The 2 questions are attached below.

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

Evaluate: 2-^4=
A.1/16
B.1/8
c. -8
D.-16

Answers

Answer:

A. 1/16

Step-by-step explanation:

[tex] {2}^{ - 4} = \frac{1}{ {2}^{4} } = \frac{1}{16} \\ [/tex]

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

Find the slope, or rate of change, from the following tables:


Please help me

Answers

the first one, the slope is 5.


the second one, the slope is 2/3.

hehehdhdhdhdhdhshshshhs​

Answers

bghvfdddddcvbnmjkliuytrftfgvvvvv  nbv nbv hjgfdc

Step-by-step explanation:

hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf

What is the surface area of this right rectangular prism with dimensions of 6 centimeters by 6 centimeters by 15 centimeters?
432
425
445
412

Answers

Answer:

432

Step-by-step explanation:

convert 3.34 as a fraction in its simplest form​

Answers

Answer:

3 17/50

Step-by-step explanation:

Pls help I have this homework !! bye I will mark you the best or brainliest!!

Answers

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

Please mark me as brainliest :D

what is the value of x and y?

Answers

Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.

Step-by-step explanation:

A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:

5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000

Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph

Answers

I think it’s D sorry if it’s wrong

A merchant made 15% profit by selling his goods for $92. How much did he pay for the goods?

Answers

Answer:

13.8 I believe is the answer

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