prove that...sin^4α+sin^2αcos^2α=sin^2α​

Answers

Answer 1

Answer:

Note that LHS means left-hand side and RHS means right-hand side.

Step-by-step explanation:

LHS = sin⁴a + sin²a cos²a

= sin²a (sin²a + cos²a)

At this point, you can use the identity sin²a + cos²a = 1,

= sin²a (1)

= sin²a

= RHS (Proved)

Answer 2

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]


Related Questions

how can I solve this question 25 divide by 1,582 in the best way.

Answers

Step-by-step explanation:

1582/15

105.4667

is the answer

Step-by-step explanation:

25/ 1582

ans=0.0158027813 it this ans

4. In preparation for the storm, Mike has printed out some flyers
advertising that he will shovel snow for $15 per hour. Mike also will
charge a minimum of $10.
a. Write an equation to find the total amount charged, y, after x
numbers of hours shoveling snow.

Answers

Answer:

y = 10 between 0 and 1

AND

y=15x for x>=1

Step-by-step explanation:

This has 2 segments. One when 0 < x < 1 (y=$10), and one when x >= 1 (y=$15x)

So

y = 10 between 0 and 1

AND

y=15x for x>=1

lets try this again plz help

Answers

Answer:

[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

b, y=1/4x since the rise/run is 1/4

It is 5 cm between two buildings on a map that has a scale of 100 000:1. What is their actual
distance apart?
O A.
0.5 km
B. 50 km
C.
5 km
OD.
500 km

Answers

Answer:

C 5 km

Step-by-step explanation:

so, 5 cm on the map correlates to

5×100000 = 500000 cm in reality.

100 cm = 1 m

1000 m = 1 km

so, 500000 / 100 = 5000 m.

5000 / 1000 = 5 km


A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?

Answers

Y=mx+b use that formula

The coordinate grid shows the graph of four equations:

Which set of equations has (3, 1) as its solution?
A and B
C and D
B and D
A and D

Answers

Answer:

A and D

Step-by-step explanation:

All you need to do is locate the point (3,1) on the graph and figure out which two lines are intersecting it. In this case it is A and D so that is your solution.

Answer:

A and D

Step-by-step explanation:

As you can see that both lines meet the point

Therefore, A and D have (3, 1) as its solution

I’m struggling bad! If you need a better pic I can

Answers

Answer:

could i have the website info  or the image clearer so i could try and help you

Step-by-step explanation:

Hi please answer ASAP please and thank you

Answers

Answer:

1 1/4

Step-by-step explanation:

2 3/4 - 1 1/2

3 3/4 - 1 2/4

1 1/4

How much film does he have

Answers

Answer:

not 100% sure what the question is

but he has 85 movies

that are about 9350 minutes runtime which is about 155.8 hours of film

Step-by-step explanation:

frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?

Answers

Answer:

-5

Step-by-step explanation:

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​

Answers

If both triangles are similar the ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]

Best answer gets brainliest and 5 stars

Answers

Answer:

B

Step-by-step explanation:

5^2+12^2=25+144=169=13^2 which will form a right angle triangle

7>x/4 solve for x

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6​

Answers

Answer:

Hope it will helps you

.

.

Answer:

and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6

hope it's help you...!!!

#rishu

4. RE and RD are tangent to circle M. If RE measures 8.4 cm, what is the measure of RD?

Answers

Answer:

B. 8.4

Step-by-step explanation:

RE and RD are equal

I hope this helps!

pls ❤ and mark brainliest pls!

find LCM of 60,40 and 90​

Answers

Answer:

Step-by-step explanation:

Prime factorize.

60 = 2 *2 * 3 * 5     = 2² * 3 * 5

40 = 2 * 2 * 2 *5     = 2³ *       5

90 = 2 * 3 * 3 * 5    = 2 * 3² * 5

LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360

Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?

Pls help :)

Answers

Answer:

The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M

Step-by-step

Change:

7h10= 430 mins

1 hour and 25 minutes= 85 mins

2 hours and 5 mintues= 125 mins

- Total time Ruth wants to do before his dinner reservations:

85+ 125+ 50= 260 (mins)

- The latest time Ruth's family can start their tour in order to make it to dinner on time:

430- 260= 170 (mins)

Change: 170 mins= 2 hours and 50 minutes

Good luck!

How do you do this TwT

Answers

Answer:

Step-by-step explanation:

First step plug the numbers into the equation.

-10/(5+2) = (-10/5) + (-10/2)

Solve both sides of the equation separately.

-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.

= -50 + (-20) = -70

-10/5 + -10/2 Multiply the fractions so they can be added together.

-10/5*2 = -20/10  -10/2*5 = -50/10

-20/10 + -50/10 = -70

Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.

Given a positive integer N. Deleting the last digit of N decreases it by 2021. What is N ?

Answers

The value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].

Given: A positive integer N such that deleting the last digit of N decreases it by 2021

To find: The value of N

Let x be the integer consisting of all digits of N except the last digit and let the last digit of N be d.

Then, [tex]N=10x+d[/tex]

It is given that deleting the last digit  decreases it by 2021

Then, [tex]x=N-2021[/tex]

Substitute [tex]N=10x+d[/tex] in [tex]x=N-2021[/tex] to get,

[tex]x=10x+d-2021[/tex]

[tex]d=2021-9x[/tex]

Since d is a digit, we have,

[tex]0\leq d\leq 9[/tex]

Substitute [tex]d=2021-9x[/tex] in [tex]0\leq d\leq 9[/tex] to get,

[tex]0\leq 2021-9x\leq 9[/tex]

[tex]9x\leq 2021\leq 9x+9[/tex]

[tex]9x\leq 2021\leq 9(x+1)[/tex]

[tex]x\leq \frac{2021}{9} \leq x+1[/tex]

[tex]x\leq 224.5556 \leq x+1[/tex]

Then,

[tex]x\leq 224.5556[/tex] and [tex]224.5556 \leq x+1[/tex]

[tex]x\leq 224.5556[/tex] and [tex]x\geq 223.5556[/tex]

[tex]223.5556 \leq x \leq 224.5556[/tex]

Since x is an integer, the only possibility that satisfies the above inequality is, [tex]x=224[/tex]

Substitute [tex]x=224[/tex] in [tex]d=2021-9x[/tex] to get,

[tex]d=2021-9(224)[/tex]

[tex]d=2021-2016[/tex]

[tex]d=5[/tex]

Substitute [tex]x=224[/tex] and [tex]d=5[/tex] in [tex]N=10x+d[/tex] to get,

[tex]N=2245[/tex]

Thus, the value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].

Learn more about word problems with digits of a number here:

https://brainly.com/question/17236020

Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o

Answers

Answer:

4x+(-3y)

Step-by-step explanation:

[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]

(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)

[tex]\\ \rm\longmapsto 4x-3y[/tex]

3a
[tex] \frac{3a + a {}^{2} }{a} [/tex]
Simplify. ​

Answers

Answer:

(3+a)

Step-by-step explanation:

3a + a^2

-------------

a

Factor out an a in the numerator

a(3+a)

-------------

a

Cancel like terms

(3+a)

Step-by-step explanation:

[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]

From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D

Answers

A………………………………………………….

Answer:

C

Step-by-step explanation:

you find the variable

Please help!!!!
Graph a line with a slope of 1/4 that contains the point (6,3).
Any silly comments will be reported! Explain if possible!

Answers

This should be right? A slope of 1/4 means up 1, right 4.

Answer:

y = (1/4)x+1.5

Step-by-step explanation:

what is the answer to -22/9r = 11/9

Answers

Answer:

2

Step-by-step explanation:

for this question you've to cross multiply

-22/9r=11/9

99r=-198

then you divide both sides by 99 inorder to remain with r on one side

99r/99=198/99

r=2

I hope this helps

Menos 10 * 12 * -4 + 40 * -2 * 6 - 2 por favor

Answers

Answer:

-2

Step-by-step explanation:

-10 x 12 x -4 + 40 x -2 x 6 - 2

-120 x -4 - 80 x 6 - 2

480 - 480 - 2

0 - 2

-2

Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1

Answers

Sarah can make 2, however she will have 3 feet leftover

Answer:

= 2 R 3

= 2 3/12

= 2 1/4

Step-by-step explanation:

  0 2

1 2 2 7

 − 0  

   2 7

 − 2 4

     3

191+13=13+191191+13=13+191
what type of property is that

Answers

what nice question that we can understand ok

I’m not going to lie I don’t know what’s going on with this question

What is the reciprocal of 12 is

Answers

Answer:

1/12

Step-by-step explanation:

The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.

Answer:

1/12

Step-by-step explanation:

12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa

You are constructing a copy of . You choose a point, C, as one of the endpoints for the new line segment. What is the next step in the construction?

Answers

Answer: Keep the compass needle on A, and stretch the compass width to B

Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.

Other Questions
Anita is interested.playing the piano.A. on B. in C. with D. of The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator. Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(P) = - 8p^2 + 24,000p. What unitprice should be established for the dryer to maximize revenue? What is the maximum revenue?The unit price that should be established to maximize revenue is $|(Simplify your answer.) May I get some help with this question? 0.18 divided by 0.04 A force of 5N accelerates a mass by 2 m/s. What will be the acceleration if the force and mass were increased to twice their original value? Lea y responda. Biblia Juan 1,1-5; 9-141. Dnde estaba el verbo o la palabra al principio?2. El mundo fue hecho por el verbo o la palabra?3. Cules son las caractersticas de la palabra?4. Qu hizo el verbo y la palabra con los que lo recibieron?5. de qu manera habito el verbo o la palabra entre nosotros.?Lea y responda. Biblia Lucas 8,11-156. De qu trata?7. Cul es el mensaje? Dibuje las escenas.8. En qu lugar tengo la palabra de Dios y por qu? 532 - 308 is the same as blank - 300 5. ........... second ant agreed to teach... Q. No.2 Make one sentence from each of the follow a) People met me at party. They were friendly. b) A waiter served us. He was very polite. c) A man is waiting for a bus. He is my father, d) A man is selling newspapers. He is Sita's uncle. e) A man answered the phone. He was my uncle. Which of the following does NOT describe a possible consequence of an unhealthy diet?A. Alisha's doctor runs blood tests and finds she has high cholesterol.B. Billy has genetic worsening vision problems that he developed at three years old.C. Rodrigo feels tired and lacks the energy he needs to get through his day.D. Scarlett falls into the overweight category for her age and height. Dividing integers7. (-154) (-14) =11. (-40) 10=15. 90 (-15)=16. 108 (-9)=17. (-48) (-6)=18. (-105) 7= 5.analyze positive aspects of federalism express each of the following numbers as power of 5... (a) 0.2, (b) 125 What is the measure of DG?Enter your answer in the box. The electron configuration for Helium (He) is shown below.1s2 Which diagram shows the correct distribution of electrons in the electron shells of a helium atom? Armando's carpet has an area of 220 square feet. He hires the Carpet Pro carpet cleaning service, which is able to clean 9 square feet of his carpet every minute. Therefore, in the first minute, CarpetPro is able to clean 9 square feet of Armando's carpet (leaving 211 square feet remaining to be cleaned). In the second minute, the cleaner is again able to clean 9 square feet of carpet (leaving 202 square feet to be cleaned), etc. Which of the following functions expresses the number of square feet that still remain to be cleaned after t minutes from the time that the carpet cleaner began cleaning this carpet. a. A(t) = 220 - 9 b. A(t) = 220 - 0.1 c. A(t) = 220(0.1) d. A(t) = 220(0.96) e. A(t) 220 - 0.96 If tanx+cotx=2 then Cosx =? Business/multivariable calc questionhelp needed asap!!!! what type of angle is PLEASE HELPListen, read the question, and choose the option with the correct answer, based on the audio.Based on the audio, how does Diego probably feel?Enfermo y enojadoFrustrado y confundidoOrgulloso y sorprendidoContento y emocionado