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pav-90 [236]
3 years ago
7

CosA.cos2A.cos4A=sin8A/8sinA​

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

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The perimeter of a rectangle is 1144 ft. It’s length is three times it’s width.find the dimensions of the rectangle.
AVprozaik [17]

Answer:

Length= 429 feet\\Width=143feet

Step-by-step explanation:

Perimeter of the rectangle= 1144 feet

Length=3*Width

L=3*W

Perimeter of rectangle:

                             2(Length+Width)\\\\                1144=2(3W+W)\\\\           1144/2=3W+W\\\\          572=4W\\\\    W=572/4\\\\ W= 143 feet\\\\Width=143 feet\\\\Length=3*143=429 feet\\\\

The Dimension of the rectangle is :

                       Length= 429 feet\\Width=143feet

8 0
3 years ago
Simplify: 2 (13- | -11+2|) -|10 - 7|^2
jasenka [17]

The answer will be -1.

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5 0
2 years ago
Find the equation of the linear function represented by the table below in slope-
Eva8 [605]

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{(y_2-y_1)}{(x_2-x_1)}

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = \frac{25-5}{6-2}

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

4 0
2 years ago
Help me <br>ans should be well explained ​
Katen [24]

Finding diagonal sum

\\ \sf\longmapsto 0.7+1.0+1.3

\\ \sf\longmapsto 0.7+2.3

\\ \sf\longmapsto 3.0

#b

Observing the square

  • x=0.9
  • y=0.6

\\ \sf\longmapsto xy=0.9(0.6)

\\ \sf\longmapsto xy=0.54

8 0
3 years ago
Read 2 more answers
Value of x to 3sf<br> area is root 4/2^2 and sides are (x+2) and (2x-3) and angle is 45°
Debora [2.8K]

Answer:

U have done iT correct

Step-by-step explanation:

6 0
3 years ago
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