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
timofeeve [1]
3 years ago
11

Please someone help me to prove this. ​

Mathematics
2 answers:
kodGreya [7K]3 years ago
5 0
Hope this can help.

KengaRu [80]3 years ago
4 0

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the following Sum Identity:

\tan (A + B) =\dfrac{\tan A+\tan B}{1-\tan A\cdot \tan B}

Given: A + B + C = 180°   →   A + B + C = π

<u>Proof LHS → RHS</u>

Given:                          A + B + C = π

Multiply by 2:              2(A + B + C = π)    

                              → 2A + 2B + 2C = 2π

                             →  2A + 2B = 2π - 2C

Apply tan:                 tan(2A + 2B = 2π - 2C)

                             → tan (2A + 2B) = tan(2π - 2C)

                             → tan (2A + 2B) = - tan 2C

\text{Sum Identity:}\qquad \qquad \dfrac{\tan 2A+\tan 2B}{1-\tan 2A\cdot \tan 2B}=-\tan 2C    

Simplify:                      tan 2A + tan 2B = -tan 2C (1 - tan 2A · tan 2B)    

Distribute:                   tan 2A + tan 2B = -tan 2C  + tan 2A  · tan 2B · tan 2C

Add tan 2C:                 tan 2A + tan 2B + tan 2C  = tan 2A  · tan 2B · tan 2C    

LHS = RHS is proven

                                 

You might be interested in
7)
natulia [17]

Answer:

600 feet

Step-by-step explanation:

3 0
3 years ago
I NEED HELP QUICKLY
son4ous [18]
His score was 40 each question was worth 5 points
8 0
3 years ago
Arlin has 9 dollars and 37 cents. Lauren has 6 dollars and 63 cents. How much money does Arlin need to give Lauren so that each
miv72 [106K]

Answer:

Arlin has to give lauren 1.37

Step-by-step explanation:

9.37 + 6.63 / 2 = 16 / 2 = 8

9.37 - 8 = 1.37

6 0
3 years ago
Read 2 more answers
Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himse
NeX [460]

Answer:

you would want B

Step-by-step explanation:

why because if you get a discount you would be able to have to not pay as much as if you dont get a discount.

7 0
3 years ago
The triangles below are similar.<br> Pls help me
siniylev [52]

Answer: I think the answer would be nine. Hear me out

Step-by-step explanation: The left triangle has the angles 5 and 4, so the right answer for the other side would be the angles 8 and x=9.

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with this anyone please help it would mean a lot : )
    15·1 answer
  • I need the awnser please.
    15·2 answers
  • Simplify.<br><br> |-10| + |5|
    10·2 answers
  • How to factor expressions?<br> For example 4n + 4 • 2,<br> 10t + 10 • 3, 7v + 7 • 8
    6·1 answer
  • Which order pair could be a solution to this inequality
    11·1 answer
  • Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify
    5·1 answer
  • What is the ratio of 4 to 12
    7·1 answer
  • Find the rate of change in a table
    11·2 answers
  • Pls help me to find IK!
    9·1 answer
  • You are part of a school and have to report the results of standardized test scores. Which measure of central tendency would you
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!