The given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified
The identity is
sin(x+ y) - sin (x- y) = 2 cos x sin y
Here we have to use the trigonometric function
Consider the right hand side of the equation
We know
sin (x+ y) = sin x cos y + cos x sin y
sin (x-y) = sin x cos y - cos x sin y
Then
sin(x+ y) - sin (x- y) = sin x cos y + cos x sin y - (sin x cos y - cos x sin y)
= sin x cos y + cos x sin y - sin x cos y + cos x sin y
Eliminate the terms
= cos x sin y + cos x sin y
= 2 cos x sin y
Hence, the given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified
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1 would have the greater value since it is a whole number unlike .38 which is less than a whole
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The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
Given:
pounds of brisket = 5 lb
Pounds of hamburger = 0.25 lb
Total pounds of briskets and hamburgers = no more than 150 lb
number of hamburgers = x
number of briskets = y
No more than in inequality = (≤)
The inequality:
5y + 0.25x ≤ 150
Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
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Answer:
20m
Step-by-step explanation:
Given:
Number of players per team = m
Number of teams in the league = 20
The number of players in the league is the product of the number of payers in each team and the number of teams in the league.
This the expression to obtain the total number of players goes thus :
Total number of players in the league = 20 * m
Total Numbr of players in the league = 20m
Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
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