cos^8a+sin^8a=1-sin^22a+1/8sin^4a​

Answers

Answer 1

cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²

=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A

=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴

=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴

//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A

=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴

=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A

=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A

=> 1 - Sin²2A + 1/8Sin⁴2A

=> R.H.S


Related Questions

I need a full answer​

Answers

Answer:

D

Step-by-step explanation:

Main value = .4142

A. sqrt(3)-sqrt(2) = .3178

B. sqrt(3)+sqrt(2) = pi

C. sqrt(2)+1 = 2.4142

D. sqrt(2)-1 = .4142 <-

Find the area of the following trapezoid.

Answers

Answer:

Your answer should be 48 [tex]cm^{2}[/tex].

Step-by-step explanation:

Hope this helps!

Answer:

48 cm square

Step-by-step explanation:

12×4=48

explanation attached

You can buy 5 cans for green beans at the Village Market for $2.70. You can buy 10
of the same cans of beans at Sam's Club for $6.50. Which place is the better buy?

Answers

Answer:

Village Market

Step-by-step explanation:

for this question we need to find the unit rate (the rate for one of something).

in this case, we need to find the cost of one can at each store so we can

easily compare the cost to see which one is cheaper

it would be (total cost)/(total number of cans)

Village Market = $2.7/5 = .54 cents per can

Sam's Club = $6.5/10 = .65 cents per can

Since Village Market has a cheaper price per can, it is the better buy.

Answer:

Village Market

Step-by-step explanation:

10 cans at the Village Market is = to $5.40.

But at Sam's Club 10 cans cost $6.50 witch is $1.10 more money your paying when u can save it.

It is not 9/18 or 1/2 PLEASE ANWSER CORRECTLY

Answers

Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

Which of the following best describes the relationship shown in the equation below?


A.
It cannot be determined if this is or is not a functional relationship.
B.
This is a functional relationship.
C.
This is not a functional relationship.

Answers

Answer:

C. this is not a functional relationship.

Step-by-step explanation:

In other words, for each x-value, there is only one corresponding y-value.

For the equation x2 + y2 = 10, find the y-value for a given x-value.

Let x = 1.

Since (-3) · (-3) = 9 and 3 · 3 = 9, there are two y-values for x = 1.

Can someone check this for me and tell me if I’m wrong or correct? Thank you

Answers

Step-by-step explanation:

yeah they are all correct

I used my calculator

Yes i believe you are correct. Hope this helped :)

PLEASEEEE HELPPPPPPPPPP

Answers

Answer:

-1/2, +1/4, -1/8, +1/16, -1/32, +1/64

Step-by-step explanation:

multiplying a negative by a negative makes it a positive. Multiplying a positive by a negative makes it a negative. The order will be negative, positive, negative, positive, negative, positive, etc.

Hope this helps!

Answer the answer is the third one

POSTING THIS AGAIN PLEASE I NEED HELP I CAN'T FAIL THIS TEST


1) Which set of equations shows a way to find 729 : 9? 721 : 7 = 103 8: 2 - 4 . 729 : 3 = 243 729 ; 3= 243 So, 729 : 9 = 103 + 4 So, 729 : 9 = 243 + 243 720 : 9 = 80 9 : 9 = 1 72 :9= 8 9:9=1 So, 729 : 9 = 80 +1 So, 729=9= 8+1​

Answers

Answer:

729 : 9 = 80 +1 is correct

A. Levi decorates with a stamp foot long and į foot wide. What is the area of the stamp? 3 4 B. The work space in Lillian's room has a width of meter and an area of į square meter. How long is it? 3 3 C. Lauren jogs around a rectangular course with a length of mile and an area of į square mile. How wide is the course? D. Layton paints on a canvas that has a length of yard and an area of square yard. How wide is the canvas? ? 1​

Answers

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

The statement representing the problem is :

Layton points on a canvas that has a length of 1/3 yard and an area of 3/4 square yard. How wide is the Canvas ?

D is the Correct choice ~

How many tons are equal to 54,000 pounds?

Answers

Answer:

I think About 27 short ton

Should i redo a test even if i got a D ( which is passing), or should i Try again?

Answers

Answer:

Redo

Step-by-step explanation:

Answer:

Depends

Step-by-step explanation:

It depends if you can retake it and if you get a lower Grade. Like if you get a F do you keep the D or F

Plz help me do this math problem !

Answers

Step-by-step explanation:

reason 1: given

reason 2: alternate interior angles

reason 3: alternate interior angles

reason 4: common (reflexive property)

reason 5: aas

luigi has 9 more books than Mario. Luigi has 52 books . how many books does Mario have.

Answers

forty three because 52-9= 43

Answer:

Mario has 43 books.

Step-by-step explanation:

Subtract the 52 books by the 9 books (52 - 9), and you will get 42 as your answer.

A car repair shop charged $80 per hour for labor and $210 for the parts of a car. If the total cost of repair for the car was $490, how many hours did it take to repair the car? (1 point)

Answers

Answer:

80x + 210 = 490

x = 3.50 per hour

Step-by-step explanation:

What is the distance between the points (−3, −5) and (−3, −7) ?




2 units

4 units

12 units

10 units

Answers

Step-by-step explanation:

d = √(x2-x1)²+(y2-y1)²

d = √(-3-(-3))²+(-7-(-5))²

d = √ 0+(-2)²

d = √4

d = 2 units

The teacher-student ratio at Dunn Middle School is 1 to 23. If there are 966 students, how many
teachers are there?

Answers

Answer:

42 teachers

Explanation:

Teacher to student ratio is 1:23

If there are 966 students, then divide by 23 to get how many teachers their are.

966/23=42

Write three numbers that round to 400,000 when rounded to the nearest 100,000

Answers

Answer: 397,825  390,000   350,000

Step-by-step explanation: Numbers must be above 350,000 because it was rounded up to 400,000.

are the following triangles similar? if so state the reason.

not similar
SAS
SSS
AA​

Answers

The triangles are not similar.

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

The Given triangle ZXB and DZN are not similar

Because,

XZ/DZ =XB/DN ≠ ZB /BN

XZ/DZ = 1/2

XB/DN = 1/2

ZB /BN = 1/3

Hence, the triangles are not similar.

Learn more about this concept here:

https://brainly.com/question/12460919

#SPJ1

A function has zeros at -5, 1, and 3.,
f(-7), f(-3), and (4) are negative. f(2) is
positive. Sketch a graph of f.

Answers

Answer:

Step-by-step explanation:

Haa

write vertically and solve step bye step 1.what is 0.24x3.12

Answers

Answer:

0.7488

Step-by-step explanation:

    0.24

×   3.12

_______

     0.48

    0.240

+   0.6200

________

     0.748 8

What is the difference between a linear function and a non linear function?

Answers

Answer:

A difference is that a linear line is straight and a non linear is not

solve the following equasion: 17 + 2.6b = 30

Answers

Answer:

Step-by-step explanation:

=30-20

Answer:

b = 5

Step-by-step explanation:

2.6 b= 30 - 17

2.6 b = 13

b = 13 ÷ 2.6

b = 5

please show work tyvm 4+3x6x(4-3³)²

Answers

Answer:

9526

Step-by-step explanation:

simplify 3^3+27

4+3*6(4-27)^2

simplify: 4-27+ -23

4+3*6(-23)^2

since the power of 2 is even it will be a positive

4+3*6*23^2

simplify: 23^2 to 529

4+3*6*529

simplify 3*6 to 18

4+18*529

then simplify 18*529 to 4+9522

and 4+9522= 9526

WILL MARK BRAINLIEST!
Simplify 4x²+ x− (x²+x−2)

Answers

Answer:

3x²+2

Step-by-step explanation:

4x²+ x - (x²+x - 2)4x²+ x - x²-x+24x²-x²+x-x+23x²+2

a man walks at 4mph for 6 hours . how far did he walk?

Answers

Answer: the average speed = 6 miles/hour

Step-by-step explanation:

Average speed is ( total distance ) / ( total time )

For the 1st 6 miles

6=4.t

t=1.5 hrs

let s = speed for last 2.5 hrs

hope it helps

mark me brainliest pls

Employees of landscaping companies built a retaining wall. They used brick to make the top 2/3 of the wall.
250 POINTS
Part A: What is the height of the brick proportion of the wall? Write an equation

Part B: Estimate the area of the whole retaining wall. A= LxW
For part c you need a equation
Part C: What is the area of the whole retaining wall? Write an equation to show your work. Compare your answer to your estimate to see whether your answer is reasonable

Answers

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

 2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

(8 x 2) + (3/4 x 1/2) = x

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

The ratio of boys to girls in math class is 3 to 5 if there are 9 boys how many girls are there

Answers

Answer:

15

Step-by-step explanation:

for every three boys there are five girls

3 groups of 3 boys

3*5=15 girls

Please answer this question

Answers

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

[tex]( \frac{19 + 7}{2} ) - 5[/tex]

hope this answer helps you dear...

Hi !
A
19 + 7 / 2 - 5
According to PEMDAS, division comes first, so we start by diving 7 by 2, which equals 3.5.
19 + 3.5 - 5 = 17.5

B
19 + 7 / 2 - 5
In order for this to equal 8, the brackets will be placed like this: (19 + 7)/2 - 5
It gives (26)/2 - 5
Then we divide 26 by 2 (according to PEMDAS once again)
We get 13 - 5 = 8

C
19 + 7 / 2 x 6 + 1
In order to get 2 as an answer, we place the brackets this way:
(19 + 7)/(2 x 6 + 1)
(26)/(12 + 1)
26/13 = 2

Hope it helps!!

Can someone please do this for me I am confused

Answers

Answer:

Where's the question???????

please help thank you

Answers

Step-by-step explanation:

[tex] (2x^2+11x+5)(x-3)[/tex]

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