![amp92904](/avatars/19810.jpg)
amp92904
01.12.2020 •
Mathematics
Express cos6mcos2m as a sum or difference
Solved
Show answers
More tips
- F Food and Cooking How to properly cook shrimp: tips from professionals...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
Answers on questions: Mathematics
- M Mathematics In a survey of 1,600 people who owned a certain type of car, 1,120 said they would buy that type of car again. What percent of the people surveyed were satisfied...
- M Mathematics System of equation x+6y=15,-x+4y=5...
- M Mathematics Solve the equation. a. 174.888 b. 95.488 c. 235.088 d. 155.688...
- M Mathematics Solve this inequality: 9h + 2 –79....
- M Mathematics If kara cuts 2 pounds of cheese into blocks that each weigh 1/3 pound how many blocks of cheese will she make...
- M Mathematics How much water must be evaporated from 36 ounces of a 8% salt solution to make a 9% salt solution? to obtain a solution that is 9% salt, how many ounces of water...
- M Mathematics What is (12 ➗ 3 + 4) - (4 squared - 6 x 2)?...
- M Mathematics A3-ounce serving of tuna fish provides 24 grams of protein. how many grams of protein are in a 19-ounce serving of tuna fish?...
- M Mathematics Which expression is equivalent to the complex fraction ?...
- M Mathematics Find the slope of the line that contains the points named. j(1, -4), k(3, -1)...
Ответ:
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
Ответ:
The answer is 4/9
Hope this helps