cos4A+sin4A-2cos2Asin2A=(2cos2A-1)2 prove it.​

Answers

Answer 1

cos4A-sin4A=2cos2A-1

proved below.

Step-by-step explanation:

Given:

cos^4A-sin^4A=2cos^2A-1

LHS=cos^4A-sin^4A

=[cos^2A]^2-[sin^2A]^2

=[cos^2A+sin^2A][cos^2A-sin^2A]

=[1][cos^2A-(1-cos^2A)] [ cos^2A+sin^2A=1]

=[cos^2A-1+cos^2A]

=2cos^2A-1

=RHS.


Related Questions

Which value from the set
{1/2, 2/3, 4/3,5/2} is a value of x that will make the equation 3/4 + x = 9/8 true?
a.2/3
b.4/3
c.5/2
d.1/2

Answers

Answer:

2/3

Step-by-step explanation:

that does not say + it a division sign  how to got 2/3

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

Which equals:

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3. Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation (3/4) / x = (9/8), we get the following true equation which means our math is correct.

(3/4) / (2/3) = (9/8)

The value of x will be 2/3

What is an equation?

Equation: An equation is basically a statement that equates two expressions.

An equation must contain an "equality" sign.

Given,

3/4 + x = 9/8

Let us make it correct . Replace + sign with / to get the required answer.

(3/4) / x = (9/8)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((3/4) / x)x = (9/8)x

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3.

Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:2/3

Know more about equations,

https://brainly.com/question/30287865

#SPJ2

QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .

x =

m(triangle shape)ZTV = _ degrees

Answers

Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

I need help, I did 1-2b, but i do not mind someone answering it either way so I can double check, but I am mainly stuck with 2c and if someone can tell me the answer and as to why, it would mean a lot and you can get brainlest if it is the right answer :) ​

Answers

Answer:

i belive the answer is c because they always try and trick you making you choose the wrong one and all the evidence cites that it could be c!!

Step-by-step explanation:

Write a rule for the linear function in the table.


A.
y = 1.2x + 2.4


B.
y = –1.2x – 2.4


C.
y = 1.2x – 2.4


D.
y = –1.2x + 2.4

Answers

Answer:

the answer is B

Step-by-step explanation:

the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)

Answer: Gradpoint answer

B.    y = –1.2x – 2.4

Step-by-step explanation: My answer

A.    y = 1.2x + 2.4

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

$38.1

Step-by-step explanation:

Tax: 30*0.07 = 2.1

Tip: 30*0.2 = 6

Total: 30 + 2.1 + 6 = 38.1

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.

Answers

Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

Mark it as Brainlist answer. Follow me.

Someone please explain how to get the answers

Answers

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the market by describing as many of its specific characteristics.
(Have fun and be creative, but most importantly, be accurate to avoid bad reviews)

Here is your Polynomial: f(x)=x^3-10x^2+28x-24

Answers

Step-by-step explanation:

A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.

A polynomial in a single indeterminate x can always be written (or rewritten) in the form

{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},

where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.

This can be expressed more concisely by using summation notation:

{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}

That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer

A company has 200 employees there are 150 female employees. 40 employees are under the age of 20. The probability of randomly selecting an employee who is female or is under the age of 30 is 85%. What is the probability of randomly selecting an employee who is female and under the age of 30?

Answers

Answer and explanation:

Probability= number of favorable outcomes/ total number of outcomes

Probability of selecting an employee who is female= number of female employees/ total number of employees

Probability of selecting an employee who is female= 150/200

Probability of selecting an employee who is under 30= number of employees under 20/ total number of employees

Probability of selecting an employee who is under 30 = 40/200

Probability of randomly selecting an employee who is female and under the age of 30= Probability of selecting an employee who is female × Probability of selecting an employee who is under 30

Probability of randomly selecting an employee who is female and under the age of 30= 150/200×40/200=15/20×4/20=3/20= 0.15

Therefore there's a 15% chance of selecting an employee who is female and under the age of 30

Please help me pass due​

Answers

Answer:

226.98 rounded equals 226.98!

Have a great day!

Describe y= -3x+4 in words.

Answers

Answer:

y=-3x+4

put x =0

y=-3(0)+4

y=4

putx=1

y=-3(1)+4

y=-3+4

y=1



A line has equation 2x + y=20 and a curve has equation y=a+
18/x-3, where a is a constant.
Find the set of values of a for which the line does not intersect the curve

Answers

Answer:

we have two equations:

2*x + y = 20

y = a + 18/x - 3

We want to find the values of a such that the graphs of the equations do not intersect.

The first step is to isolate y in the first equation.

now we get:

y = 20 - 2*x

Then we have the system of equations:

y = 20 - 2*x

y = a + 18/x - 3

If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:

20 - 2*x = y = a + 18/x- 3

We want to find a value of such that this does not happen.

Let's solve that equation and see what we can find.

20 - 2*x =  a + 18/x - 3

20 + 3 = a + 18/x + 2*x

23 = a + 18/x + 2*x

(23 - a) = 18/x + 2*x

if we multiply all values by x, we get:

(23 - a)*x = 18 + 2*x^2

Then we have a quadratic equation, we can write this as:

2*x^2 - (23 - a)*x + 18 = 0

Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.

Remember that for a quadratic equation:

a*x^2 + b*x + c = 0 is:

b^2 - 4*a*c

In this case, the determinant is:

(-(23 - a))^2 - 4*2*18

(23 - a)^2 - 144

And this must be smaller than zero, then:

(23 - a)^2 - 144 < 0

23^2 - 2*23*a + a^2 - 144 < 0

529 - 46*a + a^2 - 144 < 0

a^2 - 46*a + 385 < 0

Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.

Then we need to solve:

a^2 - 46*a + 385 = 0

We can use the Bhaskara's equation to find the roots, the roots are given by:

[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]

Then the two roots are:

a₁ = (46 + 24)/2 = 35

a₂ = (46 - 24)/2 = 11

Then for all the values of a suc that:

11 < a < 35

The line does not intersect the curve.

Ahh- yes—- I need help, again-

Answers

the 3rd answer for this problem

You are reading a new book. On Monday you read 3 pages. On each day after that, you read 3 times the number of pages you read on the previous day. How many pages do you read on Thursday?

pages plz answer me

Answers

81 pages.

Step-by-step explanation:

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

Answer:

81

Step-by-step explanation:

3x3x3x3

que es la radicasion ​

Answers

Answer:

La radicación es la operación inversa a la potenciación. Y consiste en que dados dos números, llamados radicando e índice, hallar un tercero, llamado raíz, tal que, elevado al índice, sea igual al radicando. En la raíz cuadrada el índice es 2, aunque en este caso se omite.

Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.

Answers

Answer:

Step-by-step explanation:

[tex]125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}[/tex]

12.92 divided by 3.4 And if you can put how you solved it that also would be great​

Answers

Answer:

The answer is 3.8

Step-by-step explanation:

Change the divisor 3.4 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

129.2 ÷ 34 = 3.800000

and therefore:

12.92 ÷ 3.4 = 3.800000

Both calculated to 6 decimal places.

( In 3.800000, you can take away the zeros, which will be equal to 3.8 )

I hope this was helpful! :)

worth 30 points !!!!!

Answers

Answer:

a

Step-by-step explanation:

the line model shows 2 halfs of 4/10

The answer should be a

what is the length of side n? ​

Answers

Answer:

6

Step-by-step explanation:

Please help me with this !!

Answers

Answer:

akismsksksialoalqoq kskw! sola skkss

Step-by-step explanation:

smksmskkwow!skkw

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?

Answers

The answer is c (y=x+10).

7x + 2y = 24
8x + 2y = 30

Answers

Answer:

x=6

so

6x7

42+ = 24/2

12-42

y=-30

Step-by-step explanation:

TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS


Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.

Answers

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

y = -[tex]\frac{4}{5}[/tex]x - 2

Which equation best describes the graph?

A. y = -[tex]\frac{4}{5}[/tex]x + 2

B. y = [tex]\frac{4}{5}[/tex]x + 2

C. y = [tex]\frac{5}{4}[/tex]x - 2

D. y = -[tex]\frac{5}{4}[/tex]x + 2

Answers

I think C is the correct answer

1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3

branleast kpo ang sasagot neto

Answers

Answer:

C. 6x-2D. 5(y + 4)C. Twice the difference of m and 3.B. 3b - 10B. diminished bya numberB. (7/x) - 2A. (10-k)/4 = 2D. 4(12 + y) = 60D. more than= 60B. 8x- 13 = 3

1. "Six less than twice a murider."

A. 6 - 2x

B. 2x - 6

C. 6x-2

D. 2 - 6x

2. "Five times the sum of a number and four."

A. 5y + 4

B. 4(y + 5)

C. 5 + 4y

D. 5(y + 4)

3. Which is the correct translation of the given 2(m - 3)?

A. Twice difference of 3 and miste C. Twice the difference of m and 3.

6. Twice the sum of m and 3.6

D. Twice the sum of m and 3.

4. "Ten less than thrice the a number"

A. 10 - 3b

B. 3b - 10

C. 106 - 3

D. 3 - 10b

5. Given, m - 4, complete this: 4

A. minus

B. diminished by

a number

C. subtracted from

D. decreased by

6." The ratio of 7 and a number decreased by 2."

A. 7/(x-2)

B. (71x) - 2

C. 7X-2

D. 7 - 2/x

7. "The difference of 10 and k divided by 4 yields to 2."

A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2

D.K-10/4 = 2

8. "Four times the sum of 12 and y is equal to 60.

A. 4y + 12 = 60 B. 4 + 12y

C. 4(12) + y = 60 D. 4(12 + y) = 60

9. All of the following are correct except

2x + 4; Twice a pumber

A. increased by B. added to

C. plus

D. more than

= 60

10. "8 times a number decreased by 13 becomes 3."

A. 8x + 13 = 3 B. 86- 13 = 3

C. 13 - 8x = 3

D. 13 + 8x = 3

branleast kpo ang sasagot neto

Find the equation of the line that passes through both points (6,-5) (0,3)

Answers

Answer:

y = -4/3x + 3

Step-by-step explanation:

Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet

Answers

Answer:

There's no grid but I'd say A if you can give me the grid I'll edit my answer

Step-by-step explanation:

A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are shown in the table.
Based on the data from the simulation, what is the probability that the winner will be in Grade 11?

Answers

Answer:

0.16

Step-by-step explanation:

Given the data:

Students __ `Gr_9 __Gr_10 __ G_11 __G_12

Frequency : 152 ___130 ______ 80 ___98

The probability is :

Frequency of grade 11 / number of trials

80 / 500

Does anyone know how to solve this?

Answers

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

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