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
torisob [31]
2 years ago
6

Subtract the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]= cos x sin y

Mathematics
1 answer:
inessss [21]2 years ago
6 0

The required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

To answer the question, we need to know what trigonometric identities are

<h3>What are trigonometric identities?</h3>

Trigonometric identities are relationships between the trigonometic ratios.

Since we require cosxsiny

Given that

  • sin(x + y) = sinxcosy + cosxsiny and
  • sin(x - y) = sinxcosy - cosxsiny

So, subtracting both expressions, we have

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy - cosxsiny)

= sinxcosy + cosxsiny - sinxcosy + cosxsiny

= sinxcosy - sinxcosy + cosxsiny  + cosxsiny

= 0 + 2cosxsiny

= 2cosxsiny

sin(x + y) - sin(x - y) = 2cosxsiny

Dividing through by 2, we have

1/2[sin(x + y) - sin(x - y)] = cosxsiny

So, the required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

Learn more about trigonometric identities here:

brainly.com/question/26609988

#SPJ1

You might be interested in
Least common multiple of 168 and 76
yuradex [85]

Answer:

Best to draw out a factor tree.

4 0
3 years ago
Read 2 more answers
Hope someone can help me with this
RoseWind [281]
(192/16)*4.55*1.43 = 39039/500 =78.078
7 0
3 years ago
What is a isometric dot paper
Nady [450]
Isometric graph paper is a triangular graph paper which uses a series of three guidelines forming a 60° grid of small triangles. The triangles are arranged in groups of six to make hexagons.
5 0
3 years ago
Read 2 more answers
What are the coordinates of the midpoint of the line segment with endpoints 2,5 and 4,-7
Phoenix [80]
<h3>Answer:   (3, -1)</h3>

===============================================

Explanation:

The midpoint formula is (x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

This basically says to add the corresponding coordinates and divide by 2.

The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.

The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.

So overall the midpoint is located at (3, -1)

8 0
3 years ago
Determine the greatest common factor between<br> 42x3 and 28x5
storchak [24]

Answer:

42*3=126

28*5=140

the GCD of 126=2*3*3*7

the GCD of 140=2*2*5*7

2*7

GCD=14

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A taxi charges $20 flat fee for the first 5 miles (even if it takes the rider one mile the cost is $20) and after that the addit
    10·1 answer
  • On a map, Sanford, NC and Myrtle Beach, SC are 4 inches apart. The distance between cities is actually 156 miles. What scale was
    7·1 answer
  • Graph the line. 2x + y = -4 <br> I need the first 2 points to plot
    10·2 answers
  • Write each fraction as a decimal. Use bar notation if necessary<br> 3/11
    12·2 answers
  • Brenda and her family went to dinner. Altogether, the meals cost $38. She would like to leave a
    10·1 answer
  • What’s the equation?
    9·1 answer
  • Please help!
    8·1 answer
  • PLEASE HELP ASAP WILL GIVE BRAINLIEST !!
    8·1 answer
  • Please help thank you !
    10·2 answers
  • At a local prechool there i a ratio of 3 boy to every 4 girl. If there are 245 total prechooler how many are boy
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!