How do I factor this?

cos^4x - sin^4x

Answers

Answer 1

Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537

Answer 2

Answer:

Step-by-step explanation:

FYI,

a² - b² = (a + b)(a - b)

f(x) = [tex]cos^{4} x[/tex] - [tex]sin^{4} x[/tex] = (cos²x + sin²x)(cos²x - sin²x) =

= (cos²x + sin²x)(cos x + sin x)(cos x - sin x)

If you need to simplify, then

f(x) = 1 × (cos²x - sin²x) = cos(2x)


Related Questions

What is the surface area of this figure?
5 m
5 m
10 m
3 m
O 520 m2
272 m2
O 400 m
O 352 m

Answers

Answer: it’s 400

Step-by-step explanation:

What is the simplified form of the following expression??

Answers

Answer:

-56[tex]x^{11}[/tex]

Please mark brainliest if you can, thank you

Step-by-step explanation:

Answer:

−56x^11        (The 11 is an exponent)

I hope I helped

what is the probability that at least one of their children will be a boy? if a couple is planing on having 3

Answers

Answer:

You can see that the chance of having at least one boy is 1/2 in the first generation, 3/4 in the second, and 7/8 in the third.

Step-by-step explanation:

What number is 20% of 40?

Answers

Answer:

It would be 8

Step-by-step explanation:

20% of 40 is 8

Answer:

8

Step-by-step explanation:

this is correct, i think, sorry if it's not.

ty :9

I do not get this question: 6b-5b+(-8b)=?

Answers

Answer:

-7b

Step-by-step explanation:

Ok soo you have add the terms.

1b+(-8b)=-7b

Have a good!!

Answer:

-9b

Step-by-step explanation:

i'm assuming this is just combining like terms so if you ignore the (b) you will have

6-5+(-8)

-1+(-8)

-9

then you put back the variable and you get -9b

pls someone help me i need help​

Answers

Answer:

use the matway well help you get the answers

The answer should be 14x^2-13x+7

An angle measures 148° more than the measure of its supplementary angle. What is the measure of each angle? AND DONT PLAGERISE!!!

Answers

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

The diameter of a circle is 24 meters. What is the circle's area? Use 3.14 for ​.

Answers

Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

9×7= Use. the disistributive property to find each product.

Answers

Answer:

63

Step-by-step explanation:

first yoy need to put the biggest number on the top then multiply each number

What is the approximate volume of this cylinder.

Answers

Answer: 502.655

Step-by-step explanation:

just search cylinder calculator

The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference =

[tex]2 \: \pi\:r[/tex]

so,

=

[tex]2 \: \pi \: r = 25\pi[/tex]

=

[tex]r = 25 \div 2[/tex]

=

[tex]r = 12.5[/tex]

now, the area =

[tex]\pi \: r \: {}^{2} [/tex]

=

[tex]\ pi \times 12.5 \times 12.5[/tex]

=

[tex]156.25 pi square centimeters

what is this turned into a fraction? 1.600334529

Answers

Answer:

1   600334528/1000000000

Step-by-step explanation: i don't know if this is right but it should be

Answer:

I don't think it is a fraction

Step-by-step explanation:

I used my calculator and nothing happened!

Hope I helped!

But I might be wrong....

Amy has the cards below:
3, 4, 5, 6, 7, 8
Select the letter that matches the probability of the dice landing on 3:
(diagram in the image attached).

Answers

Answer:

B (1/6)

Step-by-step explanation:

The cards she draws doesn't affect what number the dice lands on.  1 every 6 times on average the dice lands on 6 so there is a 1/6 probability represented by B.

Given the figure as marked. What is x?

Answers

Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

simplify 7x-5xy+3-2x-2xy-1

Answers

Answer:

5x-3xy+2?

srry if its wrong

Answer:

5x- 3xy +2

Step-by-step explanation:

Follow the rule of PEMDAS to simplify expressions.

Help me please you will get the brainliest answer if you get it right :))

Answers

Answer:

J

Step-by-step explanation:

Answer: F

Step-by-step explanation: Because I Did The Test! :)

About how many centimeters are in 6.25 inches if 1 inch is about 2.5 centimeters? Show your reasoning.

heheheheheh im so smarts (not really)

Answers

Answer:

6.25inch=15.625cm

Step-by-step explanation:

1inch=2.5cm

6.25*2.5=15.625cm

Use the Distributive Property to evaluate the expression.
(16 - 6)2

Answers

Answer:

20

Step-by-step explanation:

The answer is 20 , because you have to use PEMDAS , and the first step is to get rid of the parantheses and evaluate a new equation , the new equation will be : 10(2) and the answer will be 20

can someone help me for once ?​

Answers

Answer:

The answer is A)-4,6

Step-by-step explanation:

sorry if wrong

hope this helps

plz give brainliest

Solve for x
8x+1>−31

Answers

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

use the volume formula to find the volume of the prism

Answers

Answer:

c 25 cubic unit

Step-by-step explanation:

2 1/2=5/2

v=length *width *height

(5/2)*4*(5/2)=25

It would be 25 cubic squares

quiz verified

A pack of batteries that contains nine batteries costs $20. Determine the cost per
battery.

Answers

Answer:

$2.22

Step-by-step explanation:

If Jen run for 15 minutes and goes 120meters, how fast did she run?

Answers

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Hi guys can you answer my math question​

Answers

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ON THIS

Answers

Answer:

a) $525 CAD

b) $168.30 per day

c)  $38.05

Step-by-step explanation:

a)   1 USD =  500  

    1.05CAD      x

cross-multiply:  x = $525 CAD

b) 504.90 / 3 = 168.30 per day

c)   1 USD =   x  

    1.05CAD   39.95

cross-multiply: 1.05x = 39.95

x = 39.95 / 1.05

x = $38.05 USD

Bob and Sue are meeting on a stairway. Bob is at the top and Sue is at the bottom. There are 9 steps
from bottom to top. Bob can skip a step each time since he is going down, Sue will not skip any steps. On
which step will they meet.

Answers

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Image shown below.,, brainly says it's inappropriate when i type out the question..

Answers

Answer:

Step-by-step explanation:

f(0) = ab^0 = 5

a = 5

f(1) = 5b^1 = 8

b = 8/5

f(x) = 5(8/5)^x

What is an equation of the line that passes through the points (4,-1) and (8,5)?

Answers

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

Write the equation of the line that passes through the points (-6, 4) and (-3,-2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-2x-8

Step-by-step explanation:

-2-4/-3-(-6)=-6/3=-2

y-4=-2(x-(-6))

y-4=-2(x+6)

y-4=-2x-12

y=-2x-12=4

y=-2x-8

AHAHAHAHHHHHAHA i need help PLEASE HELP ME WITH MY MATH

Answers

Answer:

5

Step-by-step explanation:

-8x + 25 = -15

                 -25 = -40  then

-40 divide -8 to get 5

Answer: x = 5

The first step of the inverse operation is to subtract 25 on both sides of the equation to cancel out the 25 from the left side:

-8x+25 (-25) = -15 (-25)

-8x = -40

Next, you need to divide -8 on both sides to isolate the variable, which would give you the answer to x. The negatives would cancel out, leaving you with: x = 5

hope that helps :)

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