Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
Answer:
Step-by-step explanation:
You have no grounds for making a statement like that. There are a variety of reasons why you might not get immediate answers. Be patient.
I will do the second part of this question (finding the first three numbers):
a(4) = a(3)*(-3) + 2 = -148, so a(3)*(-3) = -150 and a(3) = -50
a(3) = 50
a(2) = a(3)*(-3) + 2 = 50, so -3*a(3) = 48 and a(d) = -16
a(1) = a(2)*(-3) + 2 = -16, so a(2)*(-3) = -18 and a(1) = 6
The procedure for finding a(5), a(6) and a(7) is exactly the same.
X intercept = -4 y intercept = 2
Answer:
The graph of f(x) = |x| is a v-shape and doesn't cross over the x-axis.
The graph of g(x) = -1/2|x| is still a v-shape, but it's upside-down and a bit wider. This is because of the coefficient in front of the |x|. The negative sign flips the graph of |x| and the 1/2 makes the slope smaller, therefore the graph is less steep.
I've attached a picture of the two lines below!
Answer:
Rate of interest will be 1.33 %
Return on this investment = 
%
Step-by-step explanation:
We have given principle amount P = $9000
Time = 61 days = 
We have to find the rate of interest
Total amount produce at the end of term = $9020
So interest = $9020 - $9000 = $20
We know that simple interest 
%
Return on this investment = %
