Verify sin4x-sin²x=cos4x-cos²x is an identity.
the 4 is supposed to be small like the 2

Answers

Answer 1

Answer:

It's an identity

Step-by-step explanation:

[tex]\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\Ls=\sin^2x(\sin^2x-1)=-\sin^2x(1-\sin^2x)=-\sin^2x\cos^2x\\\\Rs=\cos^2x(\cos^2x-1)=-\cos^2x(1-\cos^2x)=-\cos^2x\sin^2x\\\\Ls=Rs\\\\\text{used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}\ a(b+c)=ab+ac\\\\\sin^2x+\cos^2x=1\to \sin^2x=1-\cos^2x\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x}[/tex]


Related Questions

The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.

Answers

Answer:

[tex]y = 320x +2080[/tex]

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]

[tex]m = \frac{1600}{5}[/tex]

[tex]m = 320[/tex]

Next, we calculate the line equation as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 2400 = 320(x - 1)[/tex]

[tex]y - 2400 = 320x - 320[/tex]

[tex]y = 320x - 320 + 2400[/tex]

[tex]y = 320x +2080[/tex]

If 9y – 5 = 22, find the value of 2y.

Answers

Answer:

I want questions and answers

Step-by-step explanation:

Step-by-step explanation:

9y-5=22

9y=22+5

y=27

9

y=3

now,

2y=2×3=6

hope it helps.

In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?

Answers

Answer:

55 percent chance or 11/20 or  0.55

Step-by-step explanation

In this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!

Answers

Answer:

answer 500

Step-by-step explanation:

2x2-40x33 divided by 2 and boom answer 500

Anser:

m∠C=42

Step-by-step explanation:

(2x - 2) + (4x - 6) = (5x + 4)

(6x - 8) = (5x + 4)

-4 -4

6x - 12 = 5x

-5x -5x

1x = 12

So 4 * 12 - 6 = 42

m∠C=42

Pic below
....................

Answers

Answer:

b=2

Step-by-step explanation:

my uh head

but like u add 9/3 to -1 and get 2 so ya

hope this helps a bit <33

help plz very very confused

Answers

Answer:

x=-2

Step-by-step explanation:

These points are linear. Find the slope.

Answers

I think the slope would be 8. The formula to find slope is y1-y2/x1-x2 so you pick two points and then do the problem, i picked points (-2, -8) and (-3, -16) and after simplifying my answer i got 8. I may be wrong though

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses

Answers

Answer:

13.87

Step-by-step explanation:

On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour

Answers

Answer:

60

Step-by-step explanation:

all of those rounded to the nearest ten is 60

Lamar is considering two loans.


Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3

Which loan will have the lowest total payback?

Answers

Step-by-step explanation:

know:

Loan A

Principal

$4500

Interest rate

5%

Time in years

3

If 100% => $4500

5% =>X

X = 5% × $4500 ÷ 100% = $225

Loan A = $4500 + $225 = $4725

Loan B

Principal

$4300

Interest

6%

Time in years

3

If 100% => $4300

6% =>X

X = 6% × $4300 ÷ 100% = $258

Loan B = $4300 + $258 = $4558

Loan B has the lowest total payback.

The Loan B has the lowest total payback than the Loan A.

How to calculate the Payback?

WE can calculate the payback in both loan as;

Loan A;

Principal = $4500

Interest rate = 5%

Time in years = 3

If 100% => $4500

X = 5% × $4500 ÷ 100%

X = $225

Loan A = $4500 + $225 = $4725

Loan B;

Principal = $4300

Interest = 6%

Time in years = 3

If 100% => $4300

X = 6% × $4300 ÷ 100%

X= $258

Loan B = $4300 + $258 = $4558

Hence, the Loan B has the lowest total payback than the Loan A.

Learn more about this concept here;

https://brainly.com/question/13404463

#SPJ2

When Margie visited the beach at Key West, she collected 50 seashells. She had 15
smooth shells and 35 shells with ridges. What percent of her shells had ridges?
35
30
70
65

Answers

Answer:

70

Step-by-step explanation:

Evaluate 15 squared show work

Answers

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?​

Answers

Given that,

The interest of sum of money is 6 yrs in 3/8 of the principal.

To find,

The rate of interest.

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]

Hence, the rate of interest is 6.25%.

do you know the answer​

Answers

Answer:

The answer is 15.

Other:

Brainliest? Thanks!

Need help plz don’t know what is the answer.

Answers

Answer:

A

Step-by-step explanation:

If you subtract 4 and add 16 you get 37

The square root of 36 is 6 and the square root of 49 is 7

so since 37 is closer to 36 it has to be than 7 and a little more than 6

Answer:

A. between 6.0 and 6.2

Step-by-step explanation:

solver using order of operations (PEMDAS)

[tex]\sqrt{25-4+16} \\\sqrt{21+16} \\\sqrt{37}\\6.08[/tex]

now that we have our answer we can see what numbers it fall between which are 6.0 and 6.2, giving us answer A

Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8

Answers

When x = -2, x = 6 is the answer.

The sum of two numbers is 123 and the difference of the two numbers is 47. What are the two numbers?

Answers

Answer-
85 and 38
Explanation-
x+y= 123
x-y=47
The y values cancel out and the c values can be added together making it
2x=170
Divide by 2
x=85
Put 85 in for x in the original equation and solve for y getting 38
Check your work
85-38=47
85+38=123

help please :)))))(​

Answers

Answer:

6 hours :))))))

Step-by-step explanation:

Answer:

3 or 4 I think

Step-by-step explanation:

I think this because if u find the red candles unit rate it's 9 and 9×4 is 36 but the thing is the other one is 12 12×4 is 48 but then if u do 12×3 it's 36. The rest don't work so 3 or 4 hours. But if someone else has a different answers do not put mines because I have no clue but I think it's that because of that reason.

q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables?

a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1

Answers

Answer:

d. nq / q - 1

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

q = d / (d + n)

Step 2: Solve for d

Multiply (d + n) on both sides:                    q(d + n) = dDistribute q:                                                 dq + qn = dSubtract qn on both sides:                         dq = d - qnSubtract d on both sides:                           dq - d = -qnFactor GCF:                                                 d(q - 1) = -qnDivide (q - 1) on both sides:                        d = -qn / (q - 1)Rearrange:                                                   d = nq / -(q - 1)Distribute -1:                                                 d = nq / 1 - q

Write the linear equation in slope-intercept form, 3x − y = 7

Answers

Slope int.: y = mx + b
add y to both sides
3x = 7 + y
Subtract 7
3x - 7 = y
Solution: y = 3x - 7

whats 1 plus 1 I WILL GIVE BRAINLEST

Answers

Answer:2

Step-by-step explanation:

Find sin θ Right Triangle Trigonometry

Answers

Answer:

15/17

Step-by-step explanation:

15^2+8^2=c^2

c=hypotenuse. Sin is opposite side/hypotenuse

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA

We are given the opposite side and the agacent side

Therefore we use TOA

tan(x)= 15/8

tan^-1(15/8)=  61.93

sin(61.93)=  15/17

Hope this Helped :)

Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?

Answers

Answer:

Asafa ran at a faster rate

Step-by-step explanation:

Asafa's speed:

0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

Jemaine's speed:

3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

what is the slope of the line that is represented by the values in the table above?​

Answers

Answer:

Answer:

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

slope (m) =6

Step-by-step explanation:

Answer:

whats the answer dang

Step-by-step explanation:

Need help with this one will mark brainliest

Answers

1,-7 would be the answer I believe

Answer:

(1,-1)

Step-by-step explanation:

pls don't forget to mark brainliest, thanks! message me for any more questions :)

what is 2 +2 pls in in kider grden pls hepl

Answers

Answer:

4

Step-by-step explanation:

(ノ◕ヮ◕)ノ*:・゚✧

Here is a very high quality picture

Answer:

4

Step-by-step explanation: If you had 2 crayons and your friend had 2 crayons and you added them together it would equal 4!

A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation

Answers

Answer:

Concept: Engineering Statistics

To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.

if anybody can answer this quickly; please do!

Answers

Answer:

The answer is D

Step-by-step explanation:

I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.

Combine the like terms to create an equivalent expression.
5 + 3t +4-t

Answers

Answer:

5+7t

Step-by-step explanation:

3t and 4t add together bc they are like terms

Answer:

9+2t

Step-by-step explanation:

5+4=9

3t-t=2t

Other Questions
Which of the following positions is NOT a part of the Presidential Cabinet as outlined in the Constitution?a. Secretary of Stateb. Vice Presidentc. Secretary of Ward. Attorney GeneralTHE ANSWER IS NOT Secretary of War Write an inequality for the graph below. 1 3/8 1 2/3 quotient in lowest terms Only answer if you have an answer to one of the questions. Thank you. Which are the purposes of government? Choose the best answer in the parenthesis. The (supreme court, senate, president) and lower courts are parts of the judicial branch. The members of the judicial branch serve for a(n) (unlimited, two-year, six-year) term. The (supreme court, senate, house of representatives) is the high court of the land. The Supreme Court has (nine justices, four consecutive terms, three consecutive terms) The (president, vice president, house of representatives) appoints Supreme Court justices, who must be approved by the Senate. What is the area of the object above?A. 155 cm2B. 60 cm2C. 225 cm2D. 120 in2 a spy satellite of mass of 1000 kg is orbiting the earth at an altitude of 300 km/s a) what is its periodb) what is its orbital speed Question Attached below need this fast guys . a sample of helium gas is in a sealed rigid container 10. Is being issued a driver's license considered a right? Explain your answer........ Write the slope-intercept form of the equation that is described below.Through (-3, 3) and parallel to y = 1/3x + 5 What did the Supreme Court decide in the Citizens United case?Corporations and unions may seek to persuade voters in elections.Corporations and unions cannot enter into politics.Freedom of speech is restricted to individuals, not corporations or unions.The government cannot regulate freedom of speech. please help ill give brainliest if you give a correct answer im have a time limit so so please hurry :): 1. Define law. Why law is necessary in modern society? Separatrix Separation. A pendulum in motion can either swing from side to side or turn in a continuous circle. ...NavierStokes. The Navier-Stokes equations, developed in 1822, are used to describe the motion of viscous fluid. ...Exponents and dimensions. ...Impossibility theorems. ...Spin glass. how do you pull up the emoji keyboard on a chromebook? Read these lines from the poem "The Voice" by William Oandasan.a valley ripe with acornsand yellow poppies everywhereWhich tone is created by these lines?A: sentimentalB: hopefulC: gleefulD: nostalgic What are variables?