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
What is the arc length
sdas [7]
180 degrees i think tell me if im wrong
7 0
3 years ago
Read 2 more answers
Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve eac
liq [111]

Answer:

A.  x = 3.03

B.  x = 4/3

Step-by-step explanation:

A.  2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3.  Removing the parentheses, we get:  x = -0.03 = 3, or x = 3.03.

B.  The distributive property is the faster method here.  We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication:  12 + 3x = 16, or

3x = 4, or x = 4/3

7 0
3 years ago
A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 mo
Dafna11 [192]

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

8 0
3 years ago
What is the H.C.F of 48,30 and 18?​
melomori [17]

Answer:

G.C.F is 6

Step-by-step explanation:

Hope this helps.

6 0
3 years ago
Please don't just put down a stupid answer, just help please
bekas [8.4K]

Answer:

32.25 + x=676 and 850/38.91=y

Step-by-step explanation:

Chief,  i dont want do do an explanation

8 0
4 years ago
Other questions:
  • A vendor sold 64 hotdogs during a football game. If the ratio to hotdogs to hamburgers sold 8:1, how many hamburgers did the ven
    13·1 answer
  • Solving (-9x^2 - 7x +2) (-4x - 2)
    6·1 answer
  • The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
    11·1 answer
  • 7 There are five women and six men in a group. From this group a committee of 4 is to be chosen. In how many different ways can
    7·1 answer
  • In hopes of encouraging healthier snacks at school, Lexi brought in a tray of carrot sticks and
    10·1 answer
  • Diagnostic
    11·1 answer
  • What is the distance between -2 and 3 on a number line?
    10·1 answer
  • If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?​
    8·1 answer
  • Determine whether the graph of the equation is vertical, horizontal, or neither.
    7·1 answer
  • DULU
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!