Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A

Answers

Answer 1

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a


Related Questions

Simplify fractions
3\10
1/8

Answers

Answer:

Already simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

its preety simple you just have to divide 3/10 and 1/8 and you will get your two answers

Greg walks at a speed of 3 miles per hour. What is his speed in feet per second?

Answers

Answer: 1/20 miles per second

Step-by-step explanation:

I feel like this is the right answer but I don’t know how to explain it..

Answer:

4.4 feet

Step-by-step explanation:

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?

Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4​

Answers

Answer:

when tow line are parallel (a) is same

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75

Answers

Answer:

5.15 hope this help!!!

Step-by-step explanation:

give this brainlieast so other people can know its not 20.60

how many more pizzas dose the Westland location need to sell the equal downtown and center city locations

Answers

Answer:

530 :)

Step-by-step explanation:

If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer

How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.

Answers

Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

Yupjyyhttgtgthyuygrcgtchty

The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?

Answers

Answer: 67.8%

Step-by-step explanation:

The variables that are at most 11 will lie on the left of 11.

The percentage of the possible observations to the left will be:

= 1 - percentage to the right

= 1 - 0.322

= 0.678

= 67.8%

Question 3
And question 4 pleaseeee help!!

Answers

Answer:

see pdf

Step-by-step explanation:

Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?​

Answers

Answer:

$92.296

Step-by-step explanation:

no, he did not make the right decision that's $19.096 over the budget.

How do you write 7.3 x 10-1 in standard form?

Answers

000074 .. hope that helps :)

the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining​ the letter p twice

Answers

Answer:

The probability of obtaining the letter p twice is 1/121

Step-by-step explanation:

Probability of Recurring Events

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

[tex]\displaystyle P_1=\frac{1}{11}[/tex]

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

[tex]\displaystyle P_2=\frac{1}{11}[/tex]

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]

[tex]\displaystyle P=\frac{1}{121}[/tex]

The probability of obtaining the letter p twice is 1/121

multiply 4-6i and -4+2i

Answers

Answer:

-4 + 32i

Step-by-step explanation:

use the distributive property to multiply

remember: i^2 = 1

(4 - 6i)(-4 + 2i)

-16 + 8i + 24i - 12i^2

-16 + 32i - 12(- 1)

-16 + 32i +12

-4 + 32i

Answer:

4 - (6 * i)) * ((-4) + (2 * i)) =

-4 + 32 i

Step-by-step explanation:

A net of a storage trunk is shown. Which is the trunk's surface area?

Answers

3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800


Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%

A. $2156
B. $2165
C. $1965
D. $1959

Answers

Answer:

a

Step-by-step explanation:

3x-4+7x-8-10x-2

Simplify

Answers

Answer:

The answer is -14

Step-by-step explanation:

P.S Can I have brainliest?

Please help fast, thanks.

Answers

Answer:

b

Step-by-step explanation:

d. she picked up at least 20, so it would be greater than or equal too.

How many fifths in 3/4?

Answers

4 cups [US] = 1.063 (1 1/8) fifths

Answer:

19

Step-by-step explanation:

In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000

Answers

$143,699,010

use the calculator

It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?

Answers

Answer:

Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.

Step-by-step explanation:

Christina has 50 coins consisting of quarters and dimes. The coins combined value is $9.50. Write a system of equation to determine how many quarters and dimes Christina has.

Answers

Answer:

Christina has 30 quarters and 20 dimes.

Step-by-step explanation:

Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:

50 x 0.25 = 12.5

12.5 - 9.5 = 3

Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.

This is confirmed through the following equation:

30 x 0.25 + 20 x 0.1 = X

7.5 + 2 = X

9.5 = X

Stephanie thinks of a positive number.
She squares the number and adds 7
The result is 43
What number did Stephanie think of?

Answers

Answer:

Step-by-step explanation:

If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43

So the number is 6

Answer:

6

Step-by-step explanation:

Do the question backwards

43 - 7 = 36

[tex]\sqrt{36}[/tex] = 6

Stephanies number was 6

A hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour.At this rate, how many gallons per hour does the hybrid SUV use?

Answers

Answer:

a

Step-by-step explanation:

The hybrid SUV uses 32/55 gallons per hour which is the correct answer would be an option (A).

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that perform the arithmetic operations are called arithmetic operators.

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given that a hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour

To determine miles per gallon of gas,

We take the 32miles the hybrid SUV travels and divide it by the highway driving at a constant 55 miles per hour

⇒ 32/55

Hence, the hybrid SUV uses 32/55 gallons per hour.

Learn more about Arithmetic operations here:

https://brainly.com/question/25834626

#SPJ2

Ray spent $4266 on a new TV. If he paid it off in 18 equal payments, how much was each payment

Answers

Answer:

$237

Step-by-step explanation:

4266 divided by 18

What is the space between two rays with the same endpoint?
angle
ray
O endpoint
O length

Answers

Answer:

Angle

Step-by-step explanation:

Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!

Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent

Answers

Answer:

$116

Step-by-step explanation:

the total discount is 20-15 = 5%

the dicount = (5*120)/100 = $4

So she bought it with price = 120 - 4 = $116

Answer: 8%

Step-by-step explanation:

1. Apply the discount to the original price

20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars

120-24 = 96 (the new price of the shoes, with the coupon applied)

2. Apply the service fee to the discounted price

15% of 96 (0.15*96) = 14.4

This number is the amount of money being added to the discounted price, as it is an additional fee

96 + 14.4 = 110.4

3. Find the percent discount Genna's shoes are using the new price.

1 - (New price/Old price) = Percent discount

110.4/120 = 0.92

1 - 0.92 = 0.08

The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.

Find the unit rate. Round the nearest hundredth if necessary.
$420 for 15 tickets.
A. $28 per ticket
B. $0.04 per ticket
C. $405 per ticket
D. $840 per 30 tickets

Answers

Answer:

28 dollars per ticket

Step-by-step explanation:

just divide 420 by 15 to get 28

Answer if u know PLS​

Answers

The answer is d (|-23.6|)

Answer: Fourth Option: |-23.6|

Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.

I hope this helps, and Happy Holidays! :)

I need help on both these questions

Answers

a is 38720 i think.
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