Mathematics High School

Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.

Answers

Answer 1

To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.

To do this, we assume the following values

[tex]\mathbf{u = 75}[/tex]

[tex]\mathbf{v = 45}[/tex]

So, we have:

[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]

Substitute the assumed values for u and v

[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]

Subtract 45 from 75

[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]

Using a calculator, calculate the values of tan(30), tan(45) and tan(75)

So, we have:

[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]

Subtract 1 from 3.7321

[tex]\mathbf{0.5774 \ne 2.7321}[/tex]

Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.

Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true

Read more about proofs of trigonometry at:

https://brainly.com/question/22698523

Related Questions

What fraction of 1 km is 725 m?

Answers

Answer:

It is 725/1000.

Step-by-step explanation:

The fraction can be simplified but that will result in a loss of information about its accuracy.

have a great day!

725/1000 hope this helps you !!!!

please help me!!!!!!

Answers

Answer:

S.I = P x R x T / 100

Step-by-step explanation:

therefore 8000 x 7 x 5 / 100 = 280000/ 100

= 2800

Any math teacher here

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Answer:

what's the question?

Step-by-step explanation:

A circle has a diameter of 62 meters. What is the circumference of the circle

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Answer:

the circumstance is 194.78

Jenna has a cube with a volume of 5 cubic inches. If each dimension of the cube is tripled , what will be the volume of the enlarged cube?

Answers

[tex]\\ \sf\longmapsto V=5in^3[/tex]

[tex]\\ \sf\longmapsto side^3=5[/tex]

[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]

[tex]\\ \sf\longmapsto side=2.2in[/tex]

Side gets tripled

New side=2.2(3)=6.6in

[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]

[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]

Answer:

135 in³

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

V₁ = s³ = 5

The enlarged cube has the volume:

V₂ = (3s)³ = 3³*s³= 27s³ = 27*5 = 135 in³

Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98

Answers

Answer:

TWO TRAINS IM SORRY LOLLL

Answer:

18 minutes

Step-by-step explanation:

Simplify the expression: 5+2a - (9+a)

Answers

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

What are the names of these polygons?
a)
b)
c)
d)

can anyone help pls?

Answers

is there a photo you can attach? because i see no polygons to label

Simplify the following expression.

11/100 divided by 11/20

Answers

1/5 i believe is the answer

11/100 = 11/100. Cause it is Proper Fraction
Same things to 11/20

For an art project you are using a piece of cloth out in the shape of an right triangle What’s the area of the cloth?

Answers

Answer:

Step-by-step explanation:

6*6/2 = 18

pls help asap MIDSEGMENTS

Answers

Answer:

tttttttttttttttttttttttttttttttttttttttttttttt

write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

Answers

Answer:

y = -3/5x + 2

Step-by-step explanation:

-1 = -3/5(5) + b

-1 = -3 + b

2 = b

y = -3/5x + 2

What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7

Answers

Answer:

C. x = 3, y = -6

Step-by-step explanation:

You can divide the second equation by 2. Then you have ...

x +2y = -9

This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:

(x +2y) -(x -2y) = (-9) -(15)

4y = -24 ⇒ y = -6

Adding the two equations eliminates y:

(x -2y) +(x +2y) = (15) +(-9)

2x = 6 ⇒ x = 3

The solution is (x, y) = (3, -6).

_____

Additional comment

I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).

The sports boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How many dozen cookies will they need to sell if they charge $3 per dozen?

Which equation could be used to solve this problem?

A: 250 = 3 c - 20
B: 250 = 20 - 3 c
C: 250 = 3 - 20 c
D: 250 = 20 c - 3

Answers

Answer: A: 250 = 3c - 20

Step-by-step explanation:

A: 250 = 3c - 20

To reach their final stash of $250, they need to sell c cookies at $3 each, less the $20 for the booth.

Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)

Answers

Answer:

-2x^2+3x+956

Step-by-step explanation:

If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.

4-7 questions need help

Answers

can u put it up close so i can see

I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment

Answers

Hi! I’m not done with it yet, but I just wanted to let you know that I’m working on this for you! Please try not to stress!

the decimal equivalent of 14/26

Answers

Step-by-step explanation:

14/26

Cancel numerator and denominator with 2 ,

7/13 = 0.5384

Answer:

0.538

Step-by-step explanation:

14/26 is basically 14 into 26

40 cans of food. 30% of cans damaged. how many cans were damaged?

Answers

12 were cans were damaged

Answer:

12 cans were damaged

EXPLANATION:

Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food

reflect the co ordinate (7,-5) in the y-axis

Answers

Answer:

(-7, -5)

Step-by-step explanation:

Hope this helps!

A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?

Answers

Answer:

25 pesos 80 pw

pesos I'm not sure

Step-by-step explanation:

25. 80

Can someone pls help me
Solve for x
Please show your work

Answers

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. ∠s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.

Read more:

Answers

Answer:

2c²

Step-by-step explanation:

8c³d² / 4cd²

= 2 * c²

= 2c²

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 240 minutes, what will the population be 480 minutes from now? bacteria

Answers

10,000- starting amount.
240 min 20,000
*480 min 40,000*
960 min 80,000

Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?

Answers

Answer:

9 cookies are left

Step-by-step explanation:

36 - 9 = 27

27 · 1/3 = 9

Please help me marking brainless

Answers

Answer:

9/12 & 5/12

Step-by-step explanation:

You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12

A bicycle store costs $1500 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is $85. How many bicycles must the store sell each month to break even?

Answers

Answer:

30 bikes

Step-by-step explanation:

the profit from each bike is 50 so then you divide 1500 by 50 and you get 30

PLSSSSS HELPPPPP ASAAPPPP

Answers

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Pls help i will give brainliest!

Answers

The answer is c

Explanation: I just know so…

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