5. Use the angle addition formula to find the expression for cos (a+b).

Answers

Answer 1

Answer:

Step-by-step explanation:

Trigonometric identities are used to show the equality of expressions involving trigonometric functions. These trigonometric functions are the sine, the cosine, and the tangent as well as their respective reciprocals which are cosecant, the secant, and the cotangent,

Some trigonometric identities are:

tanθ = sinθ / cosθ; secθ = 1 / cosθ; cosecθ = 1 / sinθ; cotθ = 1 / tanθ = cosθ / sinθ

The angle addition formula for cos is given as:

cos(α + β) = cosαcosβ - sinαsinβ

Therefore:

cos(a + b) = cosacosb - sinasinb


Related Questions

Between which two integers is the square root of 275?

13 and 14
14 and 15
15 and 16
16 and 17

Answers

Answer:

None

Step-by-step explanation:

A square root has to be two of the same number

Answer this plzz
Can you try this question

Answers

Answer:

1. unlikely

2. likely

Answer: 1: Unlikely and 2. Certain...  (nothing is impossible)

giving 20 points pls help me asap ​

Answers

Answer:

fishy camera

Step-by-step explanation:

most distance in feet from surface

The fish camera is furthest from the surface of the water.

what is the y intercept of
y=5x-8

Answers

Answer:

-8

Step-by-step explanation:

The equation is written in the form y=mx+b, where m is the slope and b is the intercept. So here the intercept is -8.

Ask a skateboarder a question

Answers

What does the bottom of your board say ?

Are you good at surfing? Is it similar to skateboarding?

Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.

Answers

what is the question you’re asking

What is the slope of the line?

Answers

Answer:

-2/3

Step-by-step explanation:

Visibly we can see the line passes through (0,3) and (3,1)

The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]

I hope this helps! :)

Answer:

Slope = -2/3

Step-by-step explanation:

Rise over run, pick one point of intersection

Go up 2, go to the left until you reach another point of intersection, which is 3 units.

The table shows the number of cell phone towers a
company will build as the number of its customers
increases. Complete a and b below.
Cell Phone Towers
Customers (thousands) Towers
5.25
273
6.25
325
7.25
377
9.25
481
a. Is the relationship between number of towers and number of customers proportional? Explain.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. No. The ratios of towers to customers are not all equivalent.
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of​

Answers

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    [tex]{}[/tex]   Towers

1) 5.25            [tex]{}[/tex]                          273

2) 6.25            [tex]{}[/tex]                         325

3) 7.25            [tex]{}[/tex]                         377

4) 9.25            [tex]{}[/tex]                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

what is the answer to this sqrt{243}

Answers

Answer:

It is 9√3 and in decimal form it's 15.58845726

Step-by-step explanation:

MATH HELP!! MARKING BRAINLISEST!! :DD

Answers

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  3, -1

Step-by-step explanation:

The slope formula is ...

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...

  [tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]

The first blank shown is filled with x2 = 3.

The second blank shown is filled with x1 = -1.

Pls, help me if you are the smartest math person in your class!

Answers

Step-by-step explanation:

a. spending

b. john,60 collin,80

c. six

d. four

e. COULDNT READ THAT QUESTION

f. on day two

g. forty dollars

(PLEASE HELP WILL GIVE BRANLIEST!!!)
An elevator in a high-rise building moves upward at a constant rate. The table shows the height of the elevator above the ground floor after various



The function that models the
table of values is f(t) =

where "t" is the =

and f(t) is the=

determine the height, in feet, of the elevator at 14 seconds

Answers

Answer:

168

Step-by-step explanation:


A store sells comic books. Each comic book costs the same amount. During a sale, the store reduces the price of each comic book by $1.45. Miguel
spends $12.88 on 2 comic books at the sale price

Answers

Answer:

the original price is $7.89

the price on sale is $6.44

i hope this helps

Step-by-step explanation:

divide $12.88 by 2 to get the price of one of those comic books on sale which gives you $6.44

if you want the original price you just add $1.45 to $6.44 and then thats the price before the sale.

What is the equation of a line when m = -3 and b = 5?​

Answers

Answer: y=-3x+5

Step-by-step explanation:

The slope intercept form is y=mx+b

Substitute m and b

the equation for slope should be y = mx + b, hope this helps! :)

are these triangle obtuse or acute using the pythagorean theorem?

Answers

Answer:

they are acute triangles and right triangles

Step-by-step explanation:

1.3.2 - Harry has a 14 foot pole. He cuts off 4 1/2 feet of it and then cuts off
another 2 %s foot section. How big in the pole now?h

Answers

Answer:

9.31 is what I got

So 9.31 feet

Step-by-step explanation:

2x + 3y = -4
y=x+4
What is the solution to the system of linear equations?

Answers

Answer:

Step-by-step explanation:

2x+3y=-4

-x+y=4  /*2

2x+3y=-4

-2x+2y=8

5y=4

y=4/5

x=y-4=4/5-4= - 3.2

Katrina is going to order sweatshirts for her girls mentoring group. The sweatshirts will have the group logo printed on the front. Katrina asks two local companies to give her a price.
• MH Designs will charge $21.50 for each of the sweatshirts.
• Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.
Justify how to determine the number of sweatshirts Katrina would need to order from
each company for the costs to be the same.

Answers

Answer:

Katrina would need to buy 20 sweatshirts.

Step-by-step explanation:

The number of sweatshirts Katrina would need to order from  each company can be determined by forming the linear equation in two variables.

Given :

Katrina is going to order sweatshirts for her girl's mentoring group.Katrina asks two local companies to give her a price.MH Designs will charge $21.50 for each of the sweatshirts. Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.

Let the number of sweatshirts orders from company MH Designs be 'x' and the number of sweatshirts orders from company Print Rich be 'y'.

So, the cost for ordering the sweatshirt from the company MH Design is:

[tex]21.50x = c[/tex]

Now, the cost for ordering the sweatshirt from the company Print Rich is:

18y + 70 = c'

Given that the number of sweatshirts Katrina would need to order from  each company for the costs to be the same. So :

21.5x = 18y + 70

Now, put the value of x and y so, that in the above equation, both sides become equal.

For more information, refer to the link given below:

https://brainly.com/question/2263981

Help show your work to

Answers

Answer:

1/3 + 1/4 = ?

(1/3 x 4/4) + (1/4 x 3/3)=?

I multiplied like so in order to get equal denominators

4/12+3/12=7/12

Step-by-step explanation:

The answer is 7/12 sorry it’s hard to show work on typing

the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tickets. what ticket price should the symphony charge in order to maximize its profits?

Answers

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
b. Find the mileage per gallon for Mr. Walters's car.

Please explain how you got this answer

Answers

Answer:

Mr.Walters car can go 15 miles on one gallon of gas.

Step-by-step explanation:

To find this, you first want to put it into a ratio.

480:32

Next, you want to divide.

480/32

After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.

Answer:

15 miles

Step-by-step explanation:

18 MB downloaded in 15
seconds

Answers

Answer:

what?? what is your question

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation: Simply divide 18 by 15, and you will get 18/15=1.2

Explain how to get the variable alone in the equation. 3x = 24​

Answers

Answer:

to get rid of the 3 on the x you have to divide it by 3. whatever you do to one side you have to do to the other side so the answer would be x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

To get the variable alone you would divide both sides by 3. You do this because 3 is a common factor that both 3 and 24 have. Once you divide 3 on each side, you have x = 8 as your final answer.

What is the value of y?
Enter your answer in the box.
Round your final answer to the nearest whole number.

Answers

Answer:

I hope this helps! The answer is 9. I solved this by using “sin” to find y.

Step-by-step explanation:

3 1/3+(-2 1/4)+1 5/6

Answers

Exact Form:
35/12
Decimal Form:
2.916
Mixed Number Form:
2 11/12

What is the value of y=6−4x when x=2?

Answers

Answer:

y = -2

Step-by-step explanation:

You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.

A snow cone Machine priced at $139 is on sale for 20% off the sales tax rate is 6.75% what is the price of the snowcone machine after the discount and sales tax?

Answers

Answer:

100-20=80

80+ 6.75 = 86.75

139/100 X 86.75 = 120.5825

$120.58

Need help HMI 10th Geometry

Answers

i think it’s 6 but yea
also have a great day
brainiest plz?

pls help due soon !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: B) 12.5

Step-by-step explanation:

In a box-and-whisker plot, the first line(dot) is the smallest value, the second line is the first quartile, the third line is the median, the fourth line is the third quartile, and the last line(dot), is the maximum.

Hope it helps :D

Whats an equation in the form of y=ax+b ?

Answers

Answer: Slope-Intercept

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