1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
3 years ago
10

Find the exact value of tan 15 degrees

Mathematics
1 answer:
pentagon [3]3 years ago
4 0
<span>tan(15) = 
sin(15) / cos(15) = 
sin(45 - 30) / cos(45 - 30) = 
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)] 

Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom 
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)] 
[ √3/2 - 1/2 ] / [ √3/2 + 1/2] 
(√3 - 1) / (√3 + 1) 
(√3 - 1)^2 / (√3+1)(√3 - 1) 
(√3 - 1)^2 / (3 - 1) 
(3 - 2√3 +1) / 2 
2 - √3 

There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
You might be interested in
You can complete 2 math problems in 60 seconds. How long will it take you to
mariarad [96]

Answer:

1080

Step-by-step explanation:

You can add 60 18 times to get 1080 seconds. (60+)

I hope I helped (:

4 0
3 years ago
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o
Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that p = 0.304

100 such adults

This means that n = 100

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0
2 years ago
The table below shows the price for different numbers of notebook:
levacccp [35]
So if 2 notebooks cost 12 divide that
12/2 =6 $ each
So to check if its true the 3notebooksx $6 dollars each should =$18 for 3 notebooks
5 notebooks at $6 each = $30 for 5 notebooks
so What is 4notebooks x$6 each ? =4x6 = $24 for 4 notebooks
8 0
3 years ago
There are 318 fiction books in the class library. The number of nonfiction books is 47 less than the number of fiction books. Ho
grigory [225]

Answer:

589 books in total

Step-by-step explanation:

fiction books= 381

non-fiction= 381-47= 271

total amount of books(ficton books and non-fiction books together)= 589 books in total

6 0
3 years ago
Read 2 more answers
Simplify and she the steps how to solve this <br><br> (5t^2 + 4) - (6t^2 - 7t + 1)
torisob [31]

Answer:

<u>11t² + 7t + 3</u>

Step-by-step explanation:

⇒ (5t² + 4) - (6t² - 7t + 1)

⇒ 5t² + 4 - 6t² + 7t - 1

⇒ <u>11t² + 7t + 3</u>

4 0
2 years ago
Read 2 more answers
Other questions:
  • The table shows the number of jars of jelly that Mr. Fields can make with different numbers of ounces of berries.
    6·1 answer
  • A translation up one unit and right three units. y=3 * 2^x
    12·1 answer
  • Math practice <br> Will give brainest if correct
    6·1 answer
  • PLS HELP ASAP!! I WILL MARK BRAINIEST!! LOOK AT PHOTO!
    5·1 answer
  • Ellen has a pencil 2x+15cm long. Tom has a pencil5x+25cm long. How much longer is Tom's pencil than Ellen's?
    10·1 answer
  • Select the correct answer.
    9·1 answer
  • How do the average rates of change for the pair of function compare over the given interval?
    6·1 answer
  • I NEED HELP ASAP !! IF YOU ANSWER WITHOUT ACTUALLY ANSWERING AND ONLY FOR POINTS YOU WILL BE REPORTED!!
    15·2 answers
  • What is a slope of 3/5 x and a y intercept of -1
    14·1 answer
  • Jackson bought 3 pounds of candy for $9.60.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!