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

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:

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

Answers

Answer:

(-7, -5)

Step-by-step explanation:

Hope this helps!

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

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

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

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

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

Any math teacher here

Answers

Answer:

what's the question?

Step-by-step explanation:

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 !!!!

pls help asap MIDSEGMENTS

Answers

Answer:

tttttttttttttttttttttttttttttttttttttttttttttt

What’s the answer to this plssss??

Answers

Answer:

2c²

Step-by-step explanation:

8c³d² / 4cd²

= 2 * c²

= 2c²

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).

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…

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

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

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.

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:

the circumstance is 194.78

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

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

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

4-7 questions need help

Answers

can u put it up close so i can see

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

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!

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

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

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

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.

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

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]

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