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
boyakko [2]
3 years ago
14

Verify the identity

Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

You might be interested in
Estimate the quotient: 1628 ÷ 8
Pachacha [2.7K]

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

4 0
3 years ago
Read 2 more answers
You and your sister have square sheds. Your shed has a side length of 9 feet. Your sister's shed has an area of 114 square feet.
Vika [28.1K]
My back put jalapeño from the asofragus or the diameter of
114
3 0
3 years ago
Read 2 more answers
Is this wrong?? If so whats the answer?
mart [117]

Answer:2/12

2/12 because there is 12 answers and only 2 of them have an apple and milk. (not 100% sure but this is what I think) Please give brainliest!

4 0
2 years ago
Read 2 more answers
The product-3 and t is greater than 11
PSYCHO15rus [73]

Answer:

i am pretty sure its 8

Step-by-step explanation:

because a negative plus a positive = wichever one is bighger and 8 is bigger than 3 so 11 is positive. 8 +3 = 11

6 0
3 years ago
Answer quickly and explain and show work
Nezavi [6.7K]

Answer:

Susie is correct the function is x times itself = y.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Grace, a hairdresser, charges $18 for a haircut and $70 for a perm. She did 36 perms this month. The total amount of money Grace
    7·1 answer
  • Itskorey please help me im stuck again<br><br> one hundred seventy thousands
    6·2 answers
  • Express each decimal as a fraction or a mixed number in simplest form. 0.2727272727
    6·1 answer
  • Please help me with these two questions
    5·1 answer
  • Solve for Y showing all work: y-8=13
    11·1 answer
  • A store offers a 15% discount on a freezer chest that was originally priced at $630. If the sales tax rate is 7.8%, how much mus
    5·1 answer
  • Juan is g years old and Eva is 2 years younger than Juan.
    13·1 answer
  • Help please! I got the answer wrong the first timee and im having trouble understanding!!!
    8·2 answers
  • Pleaseee help
    6·1 answer
  • The most common triathlon distance for bicycle route is 40 kilometers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!