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

Hey guys! Do you mind helping me with these two problems? Thank you!

Answers

Answer:

Step-by-step explanation:

All are whole numbers not real numbers not

-4 -12
-2 -6
0 0
2 6
what is the slope?
what is the y-intercept?
proportional or not proportional?

Answers

Answer:

Slope(m)=3

Y-intercept= 0

y = 3x +0

Proportional

Step-by-step explanation:

m = -6--12/-2--4

m=6/2

m=3

-12 = 3(-4) + b

-12 = -12 + b

0=b

Answer:

slope, m = 3

y-intercept, b = 0

Proportional

Step-by-step explanation:

If we assume this is a straight line, we can calculate the slope between two of the given points. I'll pick (-2,-6) and 2,6).

Slope is the Rise (the change in y) over the Run (the corresponding change in x).

Rise for these two points: 6 - (-6) = 12

Run for the points is: 2-(-2) = 4

Rise/Run (Slope) = 12/3 = 4

The line becomes y=3x+b

b is the y-intercept. We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0. Behold: one of the points is (0,0), so we already have b. It is 0.

y=3x+0

y=3x is the equation.

slope, m = 3

y-intercept, b = 0

A non-proportional graph is a straight line that does not go through the origin. A proportional graph is one that does, so this is a proportional graph.

M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M

Answers

Answer: M = [tex]\frac{x-2y}{x+y}[/tex]

Step-by-step explanation:

[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]

M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)

M (x + y) = x + 2y - 4y

M (x + y) = x - 2y (Divide (x+y) from both sides)

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

Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

what is 3.46 divided by .03

Answers

Answer:

115.3

Step-by-step explanation:

Answer: 115.3333333333 or 115 1/3

Step-by-step explanation:

You take 3.46 and divide it by .03

and you get 115.3333333333 or 115 1/3

Hope this helps :)

help me pls ASAP , ion understand :/

Answers

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x

Answers

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

(dx/dt) = 19 ft/s(dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Answers

Answer:

its f

Step-by-step explanation:

Answer:

H. [tex]x\leq -5[/tex]

Step-by-step explanation:

hope this helps!

help algebra 2 100 pints if you answer right

Answers

Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

[tex] \sqrt{5} = 2.236 \: and \: \sqrt{10} = 3.162 \: find \: the \: value \: of \: \sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80} [/tex]

Answers

Answer:

the four regions on the coordinate plane are called

Answers

Answer:

They are called quadrants

Hope it helps:)

Identify the domain of the function shown in the graph.
O A. x>-1
O B. {-1,1)
O C. -15x31
O D. xis all real numbers.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

x is all real numbers

Option D is correct, domain of the function in the graph are x is all real numbers.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given function.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

IAs we observe the x values through which the curve is passing, it is passing through all the points of x axis.

So the domain will be all the real d=numbers.

Hence, Option D is correct, domain of the function in the graph are x is all real numbers.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ7

309x29 WORK MUST BE SHOWN PLSSSS

Answers

Answer:

8961

Step-by-step explanation:

3 0 9

× 2 9

____________________________

+ 2 7 8 1

+ 6 1 8

____________________________

= 8 9 6 1

What is (n+9) - (2-2n)

Answers

Answer:

Simplifying

(n + 9) + -1(2 + -2n) = 0

Reorder the terms:

(9 + n) + -1(2 + -2n) = 0

Remove parenthesis around (9 + n)

9 + n + -1(2 + -2n) = 0

9 + n + (2 * -1 + -2n * -1) = 0

9 + n + (-2 + 2n) = 0

Reorder the terms:

9 + -2 + n + 2n = 0

Combine like terms: 9 + -2 = 7

7 + n + 2n = 0

Combine like terms: n + 2n = 3n

7 + 3n = 0

Solving

7 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 0 + -7

3n = 0 + -7

Combine like terms: 0 + -7 = -7

3n = -7

Divide each side by '3'.

n = -2.333333333

Simplifying

n = -2.333333333

Step-by-step explanation:

write 65% as term fraction in its lowest a

Answers

Answer:

13/20

Step-by-step explanation:

65% = 65/100 = 13/20

Hoped this helped.

Answer:

13/20

Step-by-step explanation:

Find the 8th term of the G.P 9,3,1,

Answers

Answer:

a=9 , d=6 n=8

a+(n-1)d = an

9+(8-1)6 = an

9+7×6 = an

9+42 = an

51 = an

Given m||n, find the value of x. (10X-40°)(x-140°

Answers

Answer:

Step-by-step explanation:

no es mi culpa que eres una caca

Find m<2
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

2x=x-4
solve for x
step by step please

Answers

2x = x - 4

2x - x = - 4

x = - 4

________

Hope it helps ⚜

Answer:

x=-4

Step-by-step explanation:

2x=x-4

2x-x=-4

x=-4

Proof

2*(-4)=-4-4

-8=-8

Sub :- Linear Equations

Answers

Hiiiiiiiiiiiii

The value of x is 1 & y is 2 (a).

Steps are attached.

______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent

Answers

Answer:

3.9% is the rounded version

Step-by-step explanation:

Answer:

37.0%

Step-by-step explanation:

thanks pi sa points uwu (^^)

godblesss

Pls help meeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

He should be just fine.

There are 1000 grams in a kilogram.

He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.

He has 3 kg with 0.410 kg left over.

pls help me with math no links pls thank you will mark you brainliest

18 points

Answers

Answer:

None of those are the correct answer. The answer is 10.3625

Step-by-step explanation:

So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.

What is the value of this expression?

1.5(−2.4+(−5.3))

−11.55

−4.35

4.35

11.55

Answers

Answer:

the answer is negative 11.55

Step-by-step explanation:

-2.4+-5.3=-7.7.

7.7(1.5)=-11.55

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