The solution for proving the identity is as follows:
sin(2A) = sin(A + A)
As sin(a + b) = sinacosb + sinbcosa,
<span>sin(A + A) = sinAcosA + sinAcosA
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<span>Therefore, sin(2A) = 2sinAcosA
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Answer:
7 ; 2 ; 8
Step-by-step explanation:
money for raffle= 350 pounds
money for quiz=14 multiplied by 4= 56
56+44= 100
money for membership fees= 20 multiplied by 20= 400
Ratio
Raffle :Quiz: Membership fees
350 : 100 : 400
35 : 10 : 40 (divided by 10)
7 : 2 : 8 (divided by 5)
it can not be simplified further
V=120, l=8, h=1.5
W = V/hl
W=120/8(1.5) = 10
Answer:
We conclude the equation is linear because it can be rewritten in the form
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
![18x + 9y = -416](https://tex.z-dn.net/?f=18x%20%2B%209y%20%3D%20-416)
subtract 18x from both sides
![18x+9y-18x = - 18x-416](https://tex.z-dn.net/?f=18x%2B9y-18x%20%3D%20-%2018x-416)
simplify
![9y = -18x - 416](https://tex.z-dn.net/?f=9y%20%3D%20-18x%20-%20416)
divide both sides by 9
![y=-2x-\frac{416}{9}](https://tex.z-dn.net/?f=y%3D-2x-%5Cfrac%7B416%7D%7B9%7D)
Now, comparing the equation
with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form
.
From the attached graph, is also clear that the graph of the equation
is a straight line.
Hence, option D is correct.
Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2