Mathematics High School

rewrite sin^4x that involves only the first power of cos​

Rewrite Sin^4x That Involves Only The First Power Of Cos

Answers

Answer 1

Answer:

We want to rewrite:

sin^4(x)

in a way that only involves the first power of the cosine function.

We know that:

sin^2(x) = 1 - cos^2(x)

Then:

sin^4(x) = sin^2(x)*sin^2(x) = sin^2(x)*(1 - cos^2(x))

Now we know that:

cos(2x) = cos^2(x) - sin^2(x)

then

cos(2x) + sin^2(x) = cos^2(x)

We can replace that in our equation to get:

sin^2(x)*(1 - cos^2(x)) =  sin^2(x)*(1 - cos(2x) - sin^2(x) )

sin^2(x)*(1 - cos(2x) - sin^2(x) ) = sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

then:

sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

sin^4(x) + sin^4(x) =   sin^2(x) - sin^2(x)*cos(2x)

2*sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x)  = sin^2(x)*(1 - cos(2x))

sin^4(x) = sin^2(x)*(1 - cos(2x))/2

So we rewrite the equation in such a way that we only have the first power of the cosine function.

Related Questions

Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2

Answers

The answer is D).

10/5 is 2 and the exponents will cancel out.

help 6x+6y=-6
x=-5y-13

Answers

Answer:

what do you need help on?

Step-by-step explanation:

can someone help me im stuck

Answers

Answer:

(3). 500; (4) 60

Step-by-step explanation:

is the discriminant of f positive , zero , or negative ​

Answers

Answer:

Negative because there's no x-intercepts!

Hope this helps!

1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2​

Answers

Step-by-step explanation:

1)

a-13b

2) b

3) -3d+14e

4)12x-11y

5)-3rs

6)8xy-10cs

7)

[tex] - 2 {x}^{2} - 4x + 7[/tex]

8)

[tex]8 {y}^{2} - 7[/tex]

Answer:

1. 6a - 3b

2. b + 6c

3.- 3d - 2e

4. 12x + 5y

5. -3rs - 14bc

6. 8xy - 8cs

7. -2x^2 - 8x + 3

Step-by-step explanation:

Subtract polynomials

K - 5 = 12. Solve the equation

Answers

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

Use the square root property to solve: 5x^2+8 =133


Please help

Answers

Answer:

x = ± 5

Step-by-step explanation:

See the steps

5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?

Answers

all you have to do is 5.99x4 which equals 23.96

An example of the Commutative Property of Addition is ________

Answers

Answer:

Commutative property of addition: Changing the order of addends does not change the sum.

Step-by-step explanation:

For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.

3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit​

Answers

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

In an election, 7/20 of the voters voted for a new school tax. What is the probability that a randomly selected voter did not vote for the tax? Express your answer as a percentage.

Answers

Answer:

65%

Step-by-step explanation:

so there were 20 total voters. 20-7 = 13 that did not vote for the tax

13/20= . 65 = 65%

What is the value of 0.1562 rounded to the nearest hundredth place?

Answers

Answer:

0.16

Step-by-step explanation:

The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.​

Answers

Answer:

(2,7)

Step-by-step explanation:

PLZ HELP ASAP it’s due by midnight

Answers

A) x=70
B) y=70 (if x and y are vertical)
C) 1 and 2
D) The measure of angle 2 is 110 because it is a supplementary angle.

which graph showed exponential growth

Answers

it should be Cordinate one

Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)

Answers

Answer:abcd

Step-by-step explanation:

"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",

(x, y) → (x, y + h)

If the vertices of a square are,

A(1, 2), B(3, 2), C(3, 4), D(1, 4)

If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,

A(1, 2) → A'(1, 2+5)

          → A'(1, 7)

B(3, 2) → B'(3, 2+5)

           → B'(3, 7)

C(3, 4) → C'(3, 4+5)

           → C'(3, 9)

D(1, 4) → D'(1, 4+5)

          → D'(1, 9)

Therefore, Option (A) will be the answer.

Learn more,

https://brainly.com/question/13365243

Please help me. I need how to do the problem too

Answers

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

Let's do so in the second equation

3x - 4y = 8

3(x) - 4y = 8

3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y

6y - 4y = 8

2y = 8

y = 8/2 ..... divide both sides by 2

y = 4

Use this y value to find x

x = 2y

x = 2*4

x = 8

So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.

If you spin the spinner 75 times how many 2s would you get?

Answers

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309

Answers

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

The numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

What are Decimal Numbers?

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.

The given number can be arranged from smallest to largest can be arranged as shown below. Therefore, we can write,

0.309 < 0.32 < 0.35 < 0.40

Hence, the numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

Learn more about Decimal Numbers here:

https://brainly.com/question/4708407

#SPJ2

Failing this class plz help

Answers

Answer:

m∠2 = 35°m∠3 = 55°

Step-by-step explanation:

Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°

Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90

m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°

There are 115 students in a music club 73 of them are girls what is the ratio of the number of boys and girls

Answers

Answer:

73:42

Step-by-step explanation:

1115-73=42

G : B

73 : 42

Write a expression shows an expanded form of -8x^3y^2(x^2-4y)

Answers

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

how do I find it ? Help me please

Answers

Answer:

14x² + 41x + 15

Step-by-step explanation:

............

Can someone help me please

Answers

Answer

43

Step-by-step explanation:

HELP ME ;-; need it plsssssss

Answers

Similar fractions are basically fractions with the same denominator.


So the answers would be;

1.) S
2.) D
3.) S
4.) D
5.) D

Answer:

1) Similar

2) similar

3) Dissimilar

4) Dissimilar

5)similar

Step-by-step explanation:

similar:KAPAG MAGKAPAREHO ANG NUMBER NG DENAMONATOR NG ISANG FRACTION O MAG KAPAREHO ANG KANILANG NUMERATOR NUMBER

DISSIMILAR:KAPAG HINDI MAGKAPAREHO ANG NUMBER NG DENAMONATOR O HINDI MAGKAPAREHO ANG NUMBER NG NUMERATOR

5692 in standard form

Answers

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Can someone please explain how to simplify expressions that have negative and positive exponents

Answers

Answer:

see below, I hope it's helpful

Step-by-step explanation:

Simplifying expressions...

1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step

2. Follow PEMDAS

3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)

examples x^(-4) = 1/(x^4)

                3^(-x) = 1/(3^x)

                (2/x)^(-n) = (1/(2/x))^n = (x/2)^n

                 2^(-x^3) = 2^(-3x) = 1/(2^3x)

so for example

2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can

1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it

1/(x^n) - 1/(x^n) + (1/((-n)^2x)

When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the percent increase?

Answers

Answer:

about 31 percent

Step-by-step explanation:

help me.....

given condition A+B+C=180/2

prove that:
(sin2A+sin2B+sin2C)/(sin2A+sin2B-sin2C)=cotAcotB​

Answers

Answer:

The answer is in Picture.

Step-by-step explanation:

Hope it is helpful....

Answer:

hope it's helps you have a great day keep smiling be happy stay safe

answer the questions below

Answers

1= 96 in squares
2=$45.50
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