Verify sin^4x-sin^2x=cos^4x-cos^2x is an identity. Please dumb it down, i don't get this lesson.

Answers

Answer 1

Answer:

Step-by-step explanation:

cos^2+sin^2 = 1  ( rule)

cos^4x-cos^2x      simplify

- cos^2( -cos^2 +1  )     -cos^2 common

or  -cos^2 ( 1-cos^2)    

since cos^2 + sin^2 = 1

substitute : -cos^2 ( sin^2 )

substitute  :  -(1-sin^2 ) ( sin^2)

multiply : -sin^2 + sin^4 or sin^4 - sin^2

it is verified that sin^4 -sin^2= cos^4-cos^2

hope it helps  


Related Questions

Explain why there must be at least two lines on any given plane.

Answers

Answer:

there need to line to fly or it migth crash with a bomm!

Step-by-step explanation:

Answer: There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 20 POINTS !!

Answers

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

Answer:

[tex]= (2x + 1)(x + 7) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 15x + 7 \\ 2 {x}^{2} + 14x + x + 7 \\ 2x(x + 7) + 1(x + 7) \\ = (2x + 1)(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Pls answer. i will mark u as branliest

Answers

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles in an octagon can be find through the formula:

(n-2)180

n is the number of sides, put n as 8.

(8-2)180

(6)180 = 1080

1080 degrees is the sum of the interior angles in an octagon.

plz help with slope question

Answers

Answer:

-The equation:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Use the Point-slope formula to get the slope-intercept equation:

[tex]y-y_{1} = m(x-x_{1})[/tex]

Use the given slope [tex]1[/tex] and point [tex](3,5)[/tex] for the point-slope formula:

[tex]y-5 = 1(x-3)[/tex]

-Then, solve:

[tex]y-5 = 1(x-3)[/tex]

[tex]y-5 = x - 3[/tex]

[tex]y-5 + 5 = x - 3 + 5[/tex]

[tex]y = x + 2[/tex]

-So, the answer is:

[tex]y = x + 2[/tex]

Answer:

C. [tex]y = x +2[/tex]

Step-by-step explanation:

→You can figure this out by plugging in the numbers into the point-slope form, like so:

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

[tex]y-5=1(x-3)[/tex]

[tex]y - 5=x-3[/tex]

[tex]y = x +2[/tex]

Solve the inequality

6(x-3)/8≥3

Answers

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

(x+1)(x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Step-by-step explanation:

1. multiply the length and width by using the foil method

2. add like terms

Please help me idk this

Answers

The answer to that question is 40
ANSWER:
We will divide it into a square and a triangle.
Area of square = s*s
=8in.*8in.
=64in.
Area of triangle=1/2* base * height
=1/2*8in.*8in.
=1/2*64in.
=32in.
Total area = 64i.+32in.
= 96in.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST !!!!

if a taxpayer has an adjusted gross income (AGI) of $27.000, donates $3500
to charity, and itemizes deductions on her federal income tax returrn, how
much of the charitable donation is deductible?​

Answers

Answer:3,500

Step-by-step explanation:

A recipe for a batch of blueberry muffins calls for 3/5 of a cup of blueberries if Rallye wants to make 1/2 of batch of muffins for herself and her tennis

Answers

Answer:

She will use 3/10 cups of blueberry to prepare muffins for herself and tennis team

Step-by-step explanation:

If recipe for a batch of blueberry muffins calls for 3/5 cups of blueberries

If Rallye wants to make 1/2 batch of muffins, then she will use 1/2 of 3/5 cups of blueberry

That is,

1/2 of 3/5 cups of blueberry

=1/2×3/5

=3/10

over which interval does h have a positive rate of change?

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Answer: 2,3

Step-by-step explanation:

using mental math find 4.623 x 1000. Please explain how you got your answer​

Answers

Answer:

4 623

Step-by-step explanation:

4.623 x 1000

When multiplying by a  positive power of 10, move the decimal by the number of zeros

Since we have 3 zeros, move the decimal 3 places to the right

4 623

Answer:

You can easily figure that

[tex]4.623 = 4623 \cdot 10^{-3}[/tex]

[tex]1000 = 1\cdot 10^3[/tex]

The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]

hi please answer this

Answers

Answer:

[tex] 60\sqrt{3 \\ } [/tex]

Step-by-step explanation:

in a cube, the diagonal is the length of a side times square root of 3

60 square root of 3.

what is an irrational number

Answers

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Helpppppppppppppppppppppppppppp

Answers

Answer:

Brainliest

Step-by-step explanation:

UT = XV                    

ST = WV

angle v = angle T

^^^^^^^^ these are correct

there is no way I can explain this by writing sorry!

I WILL MARK BRAINLIEST, work out the value of.. 1+2/3+4/5+6

Answers

Answer:

Step-by-step explanation:

[tex]\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\[/tex]

Answer

[tex]59/37[/tex]

Explanation

[tex]1+\frac{2}{3+\frac{4}{5+6} }[/tex]

[tex]1+\frac{2}{3+\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{3}{1} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{33}{11} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{37}{11} } }[/tex]

[tex]1+2 \times \frac {11}{37}[/tex]

[tex]1+\frac{22}{37}[/tex]

[tex]1\frac{22}{37}[/tex]

[tex]\approx 1.594594594594594594594594594594595[/tex]

Mr. Smith has $21 in his bank account and deposits $12 per week. Mr. Brown has $55 in his account and deposits $10 weekly. After how many weeks will Mr. Smith and Mr. Brown have the same amount of money in their bank accounts?

a. Never!
b. 38 weeks
c. 17 weeks
d. 2 weeks

Answers

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

The answer would be 17 weeks !

Determine the discriminant for the quadratic equation -3=x^2+4x+1. Based on the discriminant value, how many real number solutions does the equation have ? Discriminant value = b^2-4ac

Answers

Answer:

One real root (multiplicity 2).

Step-by-step explanation:

-3=x^2+4x+1

x^2 + 4x + 4 = 0

Discriminant = 4^2 - 4*1*4 = 0

There is one real root (multiplicity 2).

The equation has 1 real solution.

The quadratic function is given as:

[tex]-3=x^2+4x+1[/tex]

Add 3 to both sides of the equation

[tex]3-3=x^2+4x+1 + 3[/tex]

This gives

[tex]0=x^2+4x+4[/tex]

Rewrite the equation as:

[tex]x^2+4x+4 = 0[/tex]

A quadratic equation is represented as:

[tex]ax^2+bx+c = 0[/tex]

By comparison, we have:

[tex]a =1[/tex]

[tex]b =4[/tex]

[tex]c = 4[/tex]

The discriminant (d) is calculated as:

[tex]d =b^2 - 4ac[/tex]

So, we have:

[tex]d =4^2 - 4 \times 1 \times 4[/tex]

[tex]d =16 - 16[/tex]

Evaluate like terms

[tex]d = 0[/tex]

Given that the discriminant value is 0, it means that the equation has 1 real solution.

Read more about quadratic functions at:

https://brainly.com/question/2507588

Give an example of a function with a domain of (-∞,0).

Answers

Answer:

The one to the right

Step-by-step explanation:

please answer this (photo below)

Answers

Answer:

Please see attached image for the graph

Step-by-step explanation:

To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).

One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.

One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.

you can go on like this plotting more points on the graph.

Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)

HELP ME HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms

Answers

Answer:

1000g = 1kg

76.2g ÷ 1000 = 0.0762kg

Answer:

0.0762

Step-by-step explanation:

A cell phone plan costs $200 to start. Then there is a $50 charge each month. Write an equation relating the cost, y, and then number of months, x.

Answers

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

When six is subtracted from five times a number, the result is 9

Answers

You do 9=5y-6. And then solve for y. It’s is 3.

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

What is the number?

Given that, when six is subtracted from five times a number, the result is 9.

Let the number be y, such that;

(5 × y) - 6 = 9

Next, we solve for y

(5 × y) - 6 = 9

5y - 6 = 9

5y = 6 + 9

5y = 15

y = 15 / 5

y = 3

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Learn more word problems here: brainly.com/question/2610134

#SPJ9

-0.03x^2+1.53x=0

how would i go about solving for x?

Answers

Answer:

x = 0, 51

Step-by-step explanation:

→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:

-0.03x (x - 51) = 0

→Remove the -0.03 by divide it by both sides:

x(x - 51) = 0

→Separate each, like so:

x = 0

x - 51 = 0

→Solve for x:

x - 51 = 0

x = 51

Your solutions are, 0 and 51.

Solve using cosine law only

Please please help this is due tomorrow morning

Answers

Hints:

Step 1: Use Sine law the the angle B.

a/Sin A=b/SinB=c/SinC

24/Sin61^=12/SinB (accross multiply)

SinB=12Sin61^/24

SinB=0.437309853 then convert to degree =25.9 degree( depends on question rounded how many decimal) Read the question it must notes there.

--> Angle C=180-61-25.9=93.1 degree.

Step 2: Use Cosine law to calculate.

c^2=a^2+b^2−2ab⋅cosC

c^2=24^2+12^2-2(24)(12)cos93.1

c^2=720-576(-0.054078812)

c^2=720+31.11494

c^2=751.1494

c=27.4

(Square root take exponent off)

Step-by-step explanation:

Jenny recorded the number of basketball shots she made for each game. The histogram below shows her data. How many times did Jenny make less than four shots in a game?

a. 4

b. 7

c. 5

d. 1

Answers

Answer:

Answer choice a is correct, the answer would be 4.

Step-by-step explanation:

The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.

The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.

The answer would b 4

HELP ASAP! which pairs of the angles in the figure below are vertical angles?

Answers

Answer:

B, C

Step-by-step explanation:

Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.

Answer:  B

Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.

1. The ages of five children in a family are 3,3,5,8, and 18. Which statement is true for this group of data?
1) mode > mean
2) mean > median
3) median = mode
4) median > mean

Answers

The correct answer is mode

Answer:3

Step-by-step explanation:

Label axes according to input/output.

_________is the x–axis label.

__________ is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair__________is found in the scatterplot.

Answers

Answer:

height (in.) is the x-axis label

arm span (in.) is the y-axis label

The ordered pair is (30,27) is found in the scatter plot

Which has the better value?? Plz help!!!!!!!!!!!
A) One half-kilogram of bulk sunflower seeds costing 70¢ per 100 grams

or

B) A 500-milligram bag of prepackaged seeds costing $3.95

Answers

Answer:

choice A is better value

Step-by-step explanation:

1/2 Kg = 500 grams

0.7* 5=3.5 dollars for sunflower seeds

prepackaged seeds : 500 mg= 0.5 grams

so 0.5 grams cost 3.95 dollars

Please help!! Find the solution(s) to the system of equations represented in the graph.

Answers

Answer:

(4,0) and ( 0,-4)

Step-by-step explanation:

The solutions are the the graphs intersect

There are two points

(4,0) and ( 0,-4)

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