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
spayn [35]
2 years ago
13

(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)​

Mathematics
1 answer:
lbvjy [14]2 years ago
8 0

Answer:

{( \cos2A -  \cos2B)  }^{2}  +  {( \sin2A +  \sin2 B  }^{2}\\    =  ( - 2\cos2A \cos2B  +  { \cos {}^{2} 2A } +  \cos {}^{2} 2B) + (2 \sin2A \sin2B +  \sin {}^{2} 2A +  \sin {}^{2} 2B)\\  \\  { =  - 2(  \sin2A +  \sin 2 B -  \cos2 A -  \cos2B) }\\  \\ { = -  2( - 4 \sin( A + B) \cos(A + B) } \\  \\  =    {\tt{double \: angle \: of \: sine}}\\  \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\  \\  { = 4 \sin2(A + B)}

You might be interested in
Work out m and c for the line:<br> 2x + 3y +1=0 <br><br>m=<br>c =​
Sergio [31]

Answer:

m = - \frac{2}{3} , c = - \frac{1}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )

3y = - 2x - 1 ( divide terms by 3 )

y = - \frac{2}{3} x - \frac{1}{3} ← in slope- intercept form

with m = - \frac{2}{3} and c = - \frac{1}{3}

4 0
2 years ago
Kim, Laura and Molly share £385 The ratio of the amount of money Kim gets to the amount of money Mollly gets is 2:5 Kim gets £10
Thepotemich [5.8K]
<span><span>Molly: 105 x 05/02 = 42</span>
Kim: 105-42</span> = 63
<span> Laura: 385-105 = 280
           280 x 100/385</span><span> = 72%
Donc Laura obtient  72</span>% 
5 0
3 years ago
Increase 58.50 by 10% working
natka813 [3]

Answer:

Final Value = 58.50 × (1 + 10/100)

Final Value = 58.50 × (1 + 0.1)

Final Value = 58.50 × (1.1)

Final Value = 64.35

8 0
3 years ago
Read 2 more answers
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Archy [21]
Is my Guss is 300 by the fardes I can think of
3 0
3 years ago
Someone help me with this
Alex

Answer:

y=7.5x, y=9.25x, y=6x

Step-by-step explanation:

on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5

the equation for the price of ticket must be

y= 7.5 x (where y is price you pay for x number of tikets)

on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket

y=9.25x

last table $12 for 2 tikets so for one ticket is 12/2=$6

y=6x

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following statements are true based on the diagram?
    9·1 answer
  • Ct the best answer for the question.
    11·1 answer
  • At a rate of 4% you paid $144 in interest over to year. What was the original amount of your loan
    7·1 answer
  • 35 Tashaonda buys a case of oranges for $18.50 and a case of apples for $12.00.
    7·1 answer
  • In the diagram, the measure of angle 3 is 76°. A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the a
    7·1 answer
  • The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another po
    5·1 answer
  • Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If
    11·1 answer
  • 12 more than the quotient of a number and eight
    14·2 answers
  • What is the solution to A=7x+40
    7·1 answer
  • PLEASE HELP ANSWER THIS QUESTION!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!