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

Write the slope-intercept form of the equation of the line through the given point and slope.

Point: (-1, 2)

Slope: 1.

Answers

Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

What is the temperature if it is 9° colder than 15 F

Answers

Answer:

24 Degrees Farinhieght.

Step-by-step explanation:

15 degrees farinhieght added to 9 is 24 degrees.

IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!



Which number is missing on the following number line?

Answers

21 is the number missing.

7, 14, 21, 28, 35 (goes by the multiple of 7)

Answer:

21

Step-by-step explanation:

It is going by multiples of 7, so the answer is 21.

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!

Answers

The first option is correct. See an explanation below.

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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A tax deduction helps lower one's taxes, bit how does it do it?

A) a tax deduction increases one's income

b) a tax deduction lowers one's taxable income aking less tax due

c) a tax deduction lowers the percentage of sales tax for those with lower income

d) a tax deduction lowers the percentage of sales tax for those with lower income​

Answers

Answer is B because I learned it in school

In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.

Answers

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

can you help me with this question please

Answers

Answer:

correct answer it's A

give me a like at least please

What’s the value of x? :/

Answers

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.

Answers

Answer:

24 + 6

Step-by-step explanation:

24 = x + (x + 6)
where x is the number of blue marbles and x+6 is the number of yellow marbles

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}









y=−7x+3
y=−x−3

Answers

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)

Answers

Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9

Kellen got an e-mail from his bank on June 7th, June 21st, July 5th, and July 19th. Use inductive reasoning to predict the next time Kellen will receive an e-mail from his bank. A. July 21st B. July 26th C. August 2nd D. August 3rd

Answers

Answer:

August 2nd

Step-by-step explanation:

31 days in july, last email on the 19th

19-5=14

31-19=12

12+2=14

August 2nd, please mark brainliest

Answer: August 2nd

Explanation:

From:
07/06 to 21/06 is a total of 14 days
21/06 to 05/07 is also a total of 14days
05/07 to 19/07 also took 14 days
Therefore, the next email will be sent in another 14 days which is August 2nd (02/08)

The school carnival has a booth of where people can win prizes by guessing the correct number of items in different sized jars just by looking at them. Jessica really wants the cylinder shaped jar full of sour jawbreakers. What would get her closest to the correct number of jawbreakers without being disqualified from the contest?

Answers

Answer:

D

Step-by-step explanation:

A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

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Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 

Answers

Answer:

4 5 and 20

Step-by-step explanation:

What is the inverse of the function f(x) = x +3?

Answers

1- First, replace f(x) with y

f(x) = x +3  ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3  ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

The inverse is f⁻¹(x) = x-3

**********************

Answers

Answer:

4

Step-by-step explanation:

you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X

HELP GIVEING BRAINLIST What is the solution set of -11 > 1 + a?
a > -10
a -12
a < -10
a < - 12

Answers

Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses

Answers

Answer:

13.87

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
4x² + 12x + 9

Answers

Factor: 4x^2+12x+9
=2x+3 so it’s A
You have solve the equation out


The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

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RENT? GIVE ME RENT If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

Can someone please help me ?

Answers

Answer:

Option c is correct

Step-by-step explanation:

Y =mx+c

Where m=2/3

c= 8/3

Answer:

the third option is the right answer

Step-by-step explanation:

y = mx+c

m is the slope

c is the y-intercept

compare the below equations:

[tex]y = mx + c[/tex]

[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]

[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]

please help me please​

Answers

The answer is freaking y equal 1/5x

I. What is
42% of
18?

need help fast!

Answers

Answer:

It is 7.56!

Other:

Brainliest? Thanks!

Which of the symbol correctly relates The two numbers below 19?20

Answers

Answer:

<

Step-by-step explanation:

PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOW
What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42

Answers

Answer:

Its 6.12 × 10^42

Step-by-step explanation:

U have to break it into pieces.. Np Merry Christmas

the absolute value of 15.3 is the opposite of 15.3?​

Answers

Answer:

No. The absolute value of 15.3 is 15.3, not the opposite.

Step-by-step explanation:

Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.

What would 2^-5 equal ?

Answers

Answer:

0.03125

Step-by-step explanation:

Answer: -10

Step-by-step explanation:

2 times -5 would equal -10 because if you add 5, 2 times so 5+5 you would get 10, but because 5 is a negative, 10 is also negative.

a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

Solve the proportion for X.
0.666/5=х/15 x3
x= 2
x=3
x= 5
x = 10

Answers

Answer:

x = 2

Step-by-step explanation:

0.666/5 = (2/3)/5 = 2/15

Therefore, x = 2.

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