Mathematics High School

Which expression is equivalent
to cos(4x)?

Which Expression Is Equivalent To Cos(4x)?

Answers

Answer 1

Answer: A 2(2cos^2(x) - 1)^2 - 1

Step-by-step explanation: E 2020

Answer 2

The expression equivalent to cos(4x) is 2cos²(2x) - 1.

Out of the options provided, the correct choice is 2cos²(2x) - 1.

The expression equivalent to cos(4x) can be found using trigonometric identities and formulas. One such identity is the double angle identity for cosine:

cos(2θ) = 2cos²(θ) - 1.

We can apply this identity to the expression cos(4x) by considering it as cos(2(2x)).

Using the double angle identity, we have:

cos(4x) = cos(2(2x)) = 2cos²(2x) - 1.

Therefore, the expression equivalent to cos(4x) is 2cos²(2x) - 1.

Out of the options provided, the correct choice is:

O 2cos²(2x) - 1.

By substituting 2x for θ in the double angle identity, we obtain the equivalent expression for cos(4x).

To learn more about trigonometric identities;

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Related Questions

por favor ayúdeme!!​

Answers

Answer:

CHEEEEEEEEESE

Step-by-step explanation:

kakarot to me
aAA pfpfv

Answers

Answer:

yes

Step-by-step explanation:

plz help me understand this question

Answers

Answer:

The answer is D

Step-by-step explanation:

When doing this type of equation you would multiply the exponents and keep the base the same

Answer:

option D

Step-by-step explanation:

[tex](3d^4)^{2}[/tex]

multiply the powers you will get,

[tex]3d^{8}[/tex]

therefore, option D is the correct option

hope it helps you!!

If LN=6x-35 and MN=19 and LM=5x-9,find x.

Answers

The answer is x=45. Hope this helps!

Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.

Answers

Answer:

$8.50hr+ $100=x

Step-by-step explanation:

His $8.50 per hour is given to him plus $100 bonus.

what the person before me said

Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.

Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.

Q: What is the largest number of slices that Jacque can afford?

Answers

Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

Answer:

60

Step-by-step explanation:


If there are 20 apples in the fridge and 9 on the table, what is the ratio of apples in the fridge to apples on the
table?

Answers

20/9
or
20:9
hope this helped


Anya's team won 5 out of every 7 games this season
If the team played 28 games this season how many games did they win?

Answers

Answer:

19 games won

Step-by-step explanation:

71 percent times 28 equals 19

Verify the identity.

cot(x - pi/2) = -tan x

Answers

Use property...

cot(a+b)=cot a cot b - tan a tan b

a=x b=pi/2

Left side --> cot x+pi/2)=cot x cot (pi/2)  - tan x tan (pi/2)

= cot x * 0 - tan x  * 1

=0 - tan x

=- tan x

= Right side  

Determine the correct answer when you round to the nearest hundred. "5,264"
I need an answer as soon as possible, please.

Answers

Answer:

5,300

Step-by-step explanation:

5 or more raise the score, 4 or less let it rest.

Answer:

5,300

Step-by-step explanation:

buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you

Mrs. Wells has a swimming pool that is 12 m long and 4 m wide in her backyard.
What is the area of the space that the pool covers in her backyard?

Answers

Answer:

48.

Step-by-step explanation:

To find area, you need to multiply. If you multiply 12x4 you get 48, if that makes sense.

For a school art project, Kali has 604 square tiles measuring 1 inch on each side. She plans to use the tiles to completely cover the box in the shape of a rectangular prism shown below. (FORMULA: Surface Area = 2lw + 2lh + 2wh) Which statement about Kali's tiles is true? Group of answer choices Kali needs 476 more tiles to completely cover the box. Kali needs 104 more tiles to completely cover the box. Kali will have 534 tiles left after completely covering the box. Kali will have 250 tiles left after comp

Answers

Answer:

Kali needs 104 more tiles to completely cover the box.

Step-by-step explanation:

Length of box =  20 in

Breadth of box = 6 in

Height of box= 9 in

Total surface area of box = 2lw + 2lh + 2wh

Total surface area of box = 2(20)(6) + 2(20)(9) + 2(6)(9)

Total surface area of box = 708 sq. in.

Side of tile = 1 in

Area of 1 tile = [tex]Side^2 = 1^2 = 1 sq. in[/tex]

Area of 604 tiles = 604 sq. in.

Area remain uncovered = 708 - 604 = 104 sq.in.

So, Kali needs 104 more tiles to completely cover the box.

A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale

Answers

Answer:

pp

Step-by-step explanation:

Answer:

Before the sale each jump rope costed $8.99

Step-by-step explanation:

If you divide $14.38 by two you get $7.19. Then if you add the $1.80 you get $8.99

8,3,9,4,10,5 what are the following numbers and explain the pattern

Answers

Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

Help me please !!!!!!!!!!!!

Answers

22

180-157=22

Please mark me as the Brainliest.

Using the diagram below, what is the horizontal distance between the control tower and the plane?

Answers

Answer:

x = 664.093 m

Step-by-step explanation:

tan∅ = opposite over adjacent

Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):

Our theta (∅) = 52°

Our opposite = 850 m

Our adjacent = x m

tan52° = 850/x

xtan52° = 850

x = 850/tan52°

x = 664.093 m

plz help brainliest to first answer

Answers

Answer:

63° as by calculating the total angles in triangle and by applying geometry shape knowledge

who can answer this?????

Answers

Answer:

All is the answer

Step-by-step explanation:

Answer:

Its all.

Step-by-step explanation:

Natural numbers mean terminating numbers.

Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.

Answers

Answer:

what's the question

Step-by-step explanation:

I guessing the question is how many months so I would say six because you divide 200. By 25 and get eight and since 50 is worth two months then you take away two from eight and you get 6

Factorise : (5a-3b)2-1662​
pls give step by step

Answers

Answer:

6165421

Step-by-step explanation:

whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.

what is the answer ?

Answers

Answer:

b. 5i sqaure root 2

Step-by-step explanation:

first bring out the I then take out the five.

Somebody, please help me. Please show the work too

Answers

Answer:

x = 48

Step-by-step explanation:

0.75x - 9 = 27 / + 9

0.75x = 36 / : 0.75

x = 48

what is a rational algebraic expression?​

Answers

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions

ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational

Answers

Answer:

both are rational

Step-by-step explanation:

They are both represented as ab or a/b

Solve for x: 3 < x +3 < 6

Answers

Answer: 0< x < 3

Step-by-step explanation:

Hope this helps!

Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2

Answers

Answer:

[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]

Let's find the inverse of g.

Call y=g(x):

[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

[tex]y(x-2)=-3+2(x-2)[/tex]

Operate:

[tex]yx-2y=-3+2x-4[/tex]

Collect the x's to the left side and the rest to the right side of the equation:

[tex]yx-2x=-3-4+2y[/tex]

Factor the left side and operate on the right side:

[tex]x(y-2)=-7+2y[/tex]

Solve for x:

[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]

Interchange variables:

[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]

Call y as the inverse function:

[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]

describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1

Answers

The error occurred in step 2. You have to use the distributive property for the parenthesis. It is supposed to be 5p+15.

The correct solution is p>-13.

All of the following expressions are equivalent except _____.

x + (-2)
-2 + x
x - 2
2 - x

Answers

The final one, as all of the twos are negative in the other options

How do you solve this equation? x/2 - x = x/4 + 6

Answers

Answer:

x= - 8

Step-by-step explanation:

multiply both sides by 4 to get rid of the fractions. you should then get:

2x-4x=x+24

then get all the x terms to one side by subtracting by x on each side:

2x-4x-x=24

then simplify:

-3x=24

divide by -3 on each side:

x= - 8

giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?

Answers

Answer:

84.474

Step-by-step explanation:

46.93 x 1.8 = 84.474

Answer:

The giraffe could run 84.474 feet in 1.8 seconds.

Step-by-step explanation:

cross multiply

1x= 84.474

x= 84.474 ft

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