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Vera_Pavlovna [14]
3 years ago
6

Using the addition or subtraction formulas for sine or cosine.... sinasinb=(cos(a-b)-cos(a+b))/2

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

The answer w'll be obtained using formulas

cos(a+b) = cosacosb - sinasinb

cos(a-b) = cosacosb + sinasinb

Step-by-step explanation:

Using the trigonometric formula of addition and subtraction of cosine

cos(a+b) = cosacosb - sinasinb

cos(a-b) = cosacosb + sinasinb

w'll get the desired answer.

To be solve

L.H.S = R.H.S

sinasinb = (cos(a-b)-cos(a+b)/2

as we know that <u><em>cos(a+b) = cosacosb - sinasinb</em></u>

sinasinb = (cos(a-b) - (cosacosb -sinasinb))/2

as we know that <u><em>cos(a-b) = cosacosb + sinasinb</em></u>

sinasinb = ((cosacosb + sinasinb) - (cosacosb -sinasinb))/2

sinasinb = (cosacosb + sinasinb - cosacosb + sinasinb)/2

sinasinb = (2sinasinb)/2

sinasinb = sinasinb

hence L.H.S = R.H.S

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Please and thank you help me
Art [367]

9514 1404 393

Answer:

  • your graph is correct
  • y = 3x -5

Step-by-step explanation:

The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.

The y-intercept is seen to be -5, so the equation is ...

  y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)

  y = 3x -5

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The points and line are plotted correctly, so you already have your graph.

4 0
3 years ago
Please help!
postnew [5]
Lets solve the equation first:
<span> 0.5 – |x – 12| = –0.25
</span>= 1/2 - |x - 12| = -1/4
= 2 - 4<span>|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
</span>1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
<span>3.) A good first step for solving the equation is to split it into a positive case and a negative case.
</span><span>5.) The negative case of this equation is x – 12 = –0.75.</span>
7 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with the endpoints A and B.
zavuch27 [327]

Answer:

<h2>( 6 , 7 )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question we have

m = ( \frac{2 + 10}{2} \:  , \:  \frac{6 + 8}{2} ) \\  =  (\frac{12}{2}  \: , \:  \frac{14}{2} ) \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>( 6 , 7 )</h3>

Hope this helps you

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3 years ago
Which of the following lists has a mode of 213? / 111, 108, 213, 198, 205/ /212, 215, 213, 211, 220/ /213, 278, 108, 213, 157/ /
Fed [463]
The mode is the most frequent one
The answer is 213, 278 , 108, 213, 157
4 0
3 years ago
Is 11/20 greater than a half
jeyben [28]
Yes, as one half or 1/2 is also 10/20. 11/20 is greater than half by a 10% margin.
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