A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.

What is Trigonometric Identity?

Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.

The steps used to solve the trigonometric identity are :

Step 1 :  sin(x+y)

Step 2: cos ((π/2) - (x+y))

Step 3 : cos ( (π/2 -x) -y)

Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny

Step 5: sinxcosy+cosxsiny

Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny  and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.

The complete question is attached with the answer.

To know more about Trigonometric Identity

https://brainly.com/question/12537661

#SPJ2

A Student Uses The Following Steps To Prove The Sine Sum Identity. The Proof Is Incorrect. Which Steps

Related Questions

Antonio just signed up for new phone plan and is comparing his fees to that of his friend
Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same

Answers

Answer:

7 minutes

Step-by-step explanation:

Antonio's plan: Monthly cost

3 (.75m + 10) + 2.50m – 15

Marcus's Plan: Monthly cost

2 (1.75m + 12.50) – .75m + 4

where, m = number of minutes used by setting their monthly cost equal

3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4

2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4

4.75m + 15 = 2.75m + 29

4.75m - 2.75m = 29 - 15

2m = 14

Divide both sides by 2

m = 14 / 2

= 7

m = 7 minutes

A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.

Answers

I think it’s 8 not 100% but I think

Please help me answer this

Answers

Answer:

the first.option is the right answer

y= 4x-3?
Help me please

Answers

The answer is -3

Have a good day

Answer:

5  hi

Step-by-step explanation:

A VISA CARD HAS A 3% CASH BACK BONUS FOR GAS AND A 1% CASH BACK FOR EVERYTHING ELSE. THIS MONTH YOU SPENT $1,500. 1/3 WAS FOR GAS.wHAT WAS YOURCASH BACK BONUS?

Answers

Answer:

25 Dollars Cashback Bonus

Step-by-step explanation:

Lets determine both Gas CashBack (x) and Non-Gas CashBack (y) first:

x = 500 (1500 times 1/3 is 500) times .03 = 15

y = 1000 (1500 minus 500) times .01 = 10

x (15) + y (10) = 25

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.
a) Is f'(t) positive or negative? Why?
b) What are the units of f'(35)?
c) Suppose that |f'(35)| = 1.5 and f(35) = 68. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case.
At ____ minutes after the coffee was put on the counter, its temperature is ____ and will ____ by about ____ in the next 30 seconds.

Answers

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         [tex]H= f(t)[/tex]

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        [tex]|f(35)'| =  1.5[/tex]

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         [tex]|f(35)| =  68[/tex]

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  [tex]\frac{30}{60}= 0.5 \ minutes[/tex] the  rate  of change of the temperature of the cup of  coffee is  

          [tex]R =  |f(35)'| *  t[/tex]

=>        [tex]R = 1.5  *  0.5 [/tex]

=>        [tex]R = 0.75  [/tex]    

So

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.  

     

The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

The units of  f'(35) = degC/min.

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

Given

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.

1. The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

2. What are the units of f'(35)?

The units of  f'(35) = degC/min.

3. At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

At ║f'(35)║ = 1.5 and f'(35) = 68

|f'(35)| = 1.5 represents the rate of change of temperature every 35 minutes = 1.5.

To know more about Temperature click the link given below.

https://brainly.com/question/16045110

f(x) = x2 - 4; f(-3)

Answers

U want this simplified???

Sue has $1.15 in nickels and dimes, a total of 16 coins.
How many nickels and how many dimes does Sue have?

Answers

Maybe 7 dimes and 9 nickels

Answer:

9 nickels .   7 dimes

Step-by-step explanation:

i take the same class so i know where u got it from

evaluate the expression when x=3:5x+12​

Answers

Substitute in 3 for X

5*3=15

15+12=27

27 is the answer

Answer:

27

Step-by-step explanation:

5(3)=15 +12 = 27

1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use

Answers

Answer:

55/8

Step-by-step explanation:

If 11/4 packages of beads are used to make 10 bracelets;

Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.

Select two ratios that are equivalent to 7: 10.


Just trying to get my late work done ✅ thxs

Answers

Answer:

21:30

35:50

Step-by-step explanation:

21 divide by 3 =7  30 divide by 3=10

35 divide by 5=7    50 divide by 5=10

For the function h(x) = x2- 2, find the range:

If the domain is {-1, 0, 3}

Answers

Answer:

-4, -2, 4

Step-by-step explanation:

-1(2)-2

0(2)-2

3(2)-2

I hope this helped.

HEY YOU, YES YOU, PLEASE HELP ME ASAP!!

Answers

(-3,0) is your answer
Pls mark brainliest

Which numbers are in order from least to greatest? A. 0.561, 8.627, 5.325 B. 4.057, 4.122, 5.008 C. 1.742, 1.558, 1.671 D. 6.705, 6.527, 6.211

Answers

Answer:

1,4,3,2,5

Step-by-step explanation:

Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register #1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash receipts for Saturday?

Please answer ASAP :)

Answers

Answer:

17 686.98

Step-by-step explanation:

$3,497.22 + $2,259.86 + $4,178.40 + $2,863.17+ $4,888.33.

Answer:

$17,686.98

Step-by-step explanation:

Pop smoke - If I call you bae you bae for the day or bae for the night you night wife

Answers

Um the answer is 4/5 because 8/10 =4/5.
Hope this helps!
Also could you give me brainliest? If not that is ok too! Haha

Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).

What is the probability that a sample proportion of orange candies will be between .35 and .55?

Answers

Answer:

The  probability is  [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

   

Generally the mean of the sampling distribution is  [tex]\mu_{x} = 0.45[/tex]

 Generally the standard deviation is mathematically represented as  

        [tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]

=>      [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]

=>      [tex]\sigma_{x} = 0.0376[/tex]

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      [tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]

=>   [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]

Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]

So

    [tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]

=>  [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]

From the z-table  

    [tex]P( Z< 2.6595 ) = 0.99609[/tex]

and

    [tex]P( Z< - 2.6595 ) = 0.0039128[/tex]

So

   [tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]

=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Find the roots of
25
x
2

36

A.
5, 0

B.
5, -6

C.
0, 25

D.

6
5
,
6
5

Answers

Answer:

D. 65,65

Step-by-step explanation:

I think it's A?

I'm not sure though


Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?

Answers

Answer: 16

Step-by-step explanation:

40 / 5 = 8 = 1/5 of 40

8 × 3 = 24 = 3/5 of 40

40 - 24 = 16

A phone manufacturer is determining a price for its product using a cost-based pricing strategy. The fixed costs are $100,000, and the variable costs are $50,000. If 1,000 units are produced and the company wants to have a 30 percent markup, what is the price of the phone? (show work)

Answers

Answer:

b

Step-by-step explanation:

Cruz 500 ehjsjshxhu 728w

Answer:

dont even know ghnbbjuh

Dave earned $12 for mowing 4 lawns. What is the rate earned per lawn mowed?

Answers

Dave earned $3 per lawn

Is 1/3 a repeating decimal ?

Answers

Answer:

yes i also poop on poop though so it is fun

Step-by-step explanation:

1/3= poop

Answer:

Yes.

Step-by-step explanation:

1/3 = 0.333333333

Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)

Answers

Answer:

A) (3,-2)

Step-by-step explanation:

A) (3,-2)

Pls help i dont understand :( will give Brainliest + 25 Points

Answers

The answer I think is C

Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?

Answers

Answer:

$46.20

Step-by-step explanation:

First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.

Martha is standing on a street corner in a big city, facing south.
She walks 5 blocks to the south. Then, she turns right and walks 2
blocks. Then, she turns right and walks 3 blocks. Then, she turns
right again and walks 1 block. Finally, she turns left and walks 4
blocks. What direction is she facing when she is done?
A. East
B. North
C. South
D. West
(Answer is north)

Answers

Answer:

If the answer is north why did you post it?

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

4 hours

Step-by-step explanation:

50+5x=15x

50=20x

x=4

There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B.

Answers

Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

help and I’ll give you brainliest

Answers

Answer:

m<k= 63

Step-by-step explanation:

(4x+7)+(6x-9)+62=180

If (4,-9) is rotated 270° about the origin the new point would be :

A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)

Answers

The correct answer is c -4,9
Other Questions
What is the.least common multiple of 2 and 6 Use an area model to solve 2 2/3 x 4 35. What is the product of the 3rd square number and the 3rd square number 1) _______ is caused by the weight of air above an area. *atmospheric pressurehigh pressurelow pressure2) _________ creates less pressure on the barometer *high pressurelow pressure3) _______ creates greater pressure on the barometer. *high pressurelow pressure4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *high pressurelow pressure The density of the Earth is greater than the density of an equal volume of water by _____.5 times3 times1 times7 times solve for x if z = m - x how do Jim and the narrator make a living? What does this mean? Sorry if its common knowledge, my brain doesnt seem to be working. P.S. make sure to take care of yourself today luv :) Over a period of 12 hours the temperature dropped 36oF. What was the average change in temperature in one hour? When an instrumental composition is associated with a story poem or Scene is called Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?[Hint expand out (x+y)^2?] i want to get at least a 90 on my next math test which of the following expressions are equivalent to (6.2+6.2)+9.4? Choose two answers. plz help (4, 10) and (-2,-5) Slope Artistic creation of any kind yields an intensely private production.O TrueO False Please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp Pls help this is my last problem today and idk how to do it.. (? x 3) - 3 = 15help pls and i need the steps :/ URGENT VA ROG - Trouvez le verbe convenable, puis completez les phrases au present : etre, lire, vivre, pouvoir, recevoir, voulouirChaque mois nous ........ un article sportif. Il ........ a Londres depuis deux ans. Elles ........ souvent des cartes postales. Nous ne ..... pas vous accompagner parce que nous ....... pris ajourd'hui. ........-vous nous montrer vos photos ? Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.