Review the incomplete derivation of the cosine sum identity.
A 2-column table with 5 rows. Column 1 has entries step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (x + y), sine (StartFraction pi Over 2 EndFraction minus (x + y) ), blank, sine (StartFraction pi Over 2 EndFraction minus x) cosine (negative y) + cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y), blank.
Which expressions for Step 3 and Step 5 complete the derivation?
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Answers
Answer:
Option (4)
Step-by-step explanation:
STEP - 1
cos(x + y)
STEP - 2
[tex]\text{sin}[\frac{\pi}{2}-(x+y)][/tex]
STEP - 3
[tex]\text{sin}[(\frac{\pi}{2}-x)-y][/tex]
STEP - 4
[tex]\text{sin}(\frac{\pi}{2}-x)\text{cos}(-y)+\text{cos}(\frac{\pi}{2}-x)\text{sin}(-y)[/tex]
STEP - 5
cos(x)cos(y) - sin(x)sin(y)
[Since, [tex]\text{sin}(\frac{\pi}{2}-x)=cos(x)[/tex] and [tex]\text{cos}(\frac{\pi}{2}-x)=\text{sin}(x)[/tex]]
[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]
Therefore, Option (4) will be the correct option.
Answer:
D
Step-by-step explanation:
Top Answer was right, don't know why it was rated poorly
Related Questions
Which expression is equivalent to X4 - 18X2 +81?
(x-g)(x² +9)
2.
of +9)(x2 +9)
3.
(9-x)(9+x2)
(x² - 9)(x² – 9)
4
Math
Answers
Let y=x^2
Then the equation becomes:
y^2 - 18y + 81
Factorise that to give you:
(y-9)(y-9) Or (y-9)^2
But remember, y=x^2. So the equation becomes:
(X^2-9)(X^2-9)
Hope this helped :)
An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question
Answers
Answer:
3.54
Step-by-step explanation:
What is 6.92 x 10-3 written in standard form?
Answers
The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3
Answers
I have 90 pancakes for a party. Each person gets 3 pancakes. How many people can come to the party before I run out of pancakes?
Answers
Answer:
30 people
Step-by-step explanation:
90 divided by 3 would 30 so 30 people could come to the party before she ran out of pancakes
I will mark brainliest if you can help with these and show work plus 40 points
Answers
Answer:
Step-by-step explanation:
u have to solve quadratic equations algebraically ,if u are math nerd pls help, Solve the equation 6x=2x^2+1
Answers
Answer: here you go sir
Step-by-step explanation: I couldn’t put it on here because I had to put certain symbols. Hope this helps!
If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?
The measure of the third angle is (Simplify your answer.)
Answers
Answer:
50
Step-by-step explanation:
Triangle=180 degrees
96+34=130
180-130= 50
50 degrees is the third angle
The table represents a linear function.
[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------
What is the slope of the function?
–6
–4
4
6
Answers
Answer: -6
See attached picture
Which of the figures is a concave polygon?
Answers
Answer:
B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Andrea paid $9.99 to join an online music service. If she purchases 12 songs each month at a cost of $0.80 per song, what will be the total amount she has spent after 6 months?
Answers
Answer:
$67.59
Step-by-step explanation:
$9.99 + 6(12×$0.80)
$9.99 + 6($9.60)
$9.99 + $57.6
$67.59
Did mentally, so feel free to double check! ❤
Give brainliest as you wish and follow me so i can get a notification to help you!❤
After 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To find the total cost of the songs,
= 12 songs × $0.80/song = $9.60
Then, the total cost of the subscription and the songs over 6 months:
= $9.99 + (6 × $9.60)
= $9.99 + $57.60
= $67.59.
So, after 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.
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The image above shows a linear pair. Solve for x:
x = 12.14
x = 12.14
x = 25
x = 25
x = 28.33
x = 28.33
x = 58.33
ANSWER FAST PLEASE WILL GIVE BRAINLIEST!!!!
Answers
Answer:
x = 25 :)
Step-by-step explanation:
(5x+10)+(2x-5)=180
then solve!
hope this helps
Answer:
The answer is X = 25
Step-by-step explanation:
Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.
Answers
Example: What is 3 squared?
3 Squared== 3 × 3 = 9
"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"
(the little 2 means the number appears twice in multiplying, so 4×4=16)
Square Root
A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3
It is like asking:
Solve for a.
4(a + 3)=12 + 4a
−1
−3
all real numbers
no solution
Answers
Answer:
All real numbers
Step-by-step explanation:
Answer:
C) all real numbers
Step-by-step explanation:
4(a + 3) = 12 + 4a
open the parenthesis
4*a + 3*4 = 12 + 4a
4a + 12 = 12 + 4a
subtract 4a from both sides of the equation
12 = 12
since 12 = 12 regardless of what x is the solution is all real numbers
Look at Data Set A
1 3 3 2 4 0 4 3 3 5 2
Identify whether this will be normal distribution or skewed left or right? (Hint: find the five number summary and make a box plot)
O skewed left
O skewed right
O normal distribution
Answers
The distribution of set A is a normal distribution
The data in set A is given as:
1 3 3 2 4 0 4 3 3 5 2
Represent the dataset as a plot, as follows
0
1
2 2
3 3 3 3
4 4
5
Notice that the plot above increase from 0, then reaches a maximum at 3, and then decreases from 3 to 5
This implies that it follows a bell curve.
When a distribution follows a bell curve, such data is a normal distribution.
Hence, the distribution is a normal distribution
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What is the next number in the pattern below?
29, 28, 26, 23, 19
Answers
Answer:
14
Step-by-step explanation:
ive answered this
Could someone help me with this math problem. I really need help I have a test tomorrow so I need help with this.
Answers
Answer:
A. x ≥ -3 and x < 2, or -3 ≤ x < 2
Step-by-step explanation:
Remember solid dot means include, open dot means not include.
x ≥ -3: this means x is greater and equal (includes) -3.
x < 2: this means x is less than 2 and does not include it.
Answer:
A
Step-by-step explanation:
So on the number line you see a closed circle at -3 and an open circle at 2.
Closed circle represents it's either [tex]\leq[/tex] or [tex]\geq[/tex]. Open circle represents < or >.
So the first part has a closed circle at -3 and goes towards the right side. Since it does that, it would be [tex]x \geq -3[/tex].
The second part has an open circle at 2 and goes towards the left side. Since it does that, it would be [tex]x < 2[/tex].
To combine it together, it would get [tex]-3 \geq x < 2[/tex].
Since option A is [tex]x \geq -3[/tex] and [tex]x < 2[/tex], or [tex]-3 \geq x < 2[/tex], A would be the answer.
Hoped this helped! If not, please let me know and I'll try to explain more! <3
Question 1
8 pts
1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Number of portraits Time (In Hours)
1
5
2
10
3
15
4.
20
WN
yes
no
No answer text provided.
No answer text provided.
Answers
Answer: Yes
If you notice, you can actually see that each number is multiplied by 5:
1 x 5 = 52 x 5 = 103 x 5 = 154 x 5 = 20Hope this helps you!
Solve x3 = 64 over 27
Answers
Answer:
x= 4/3
Step-by-step explanation:
Answer:
Hope it helps
Step-by-step explanation:
So you want to get x by itself.
x3= [tex]\frac{64}{27}[/tex]
You could simplify
x3=2.37037037037
Then just divide 3 on both sides
x=0.79012345679
Or you can divide a fraction by a whole number and just divide the numerator and the denominator by 3.
x= [tex]\frac{21.3}{9}[/tex] or just 2.36666666667.
the perimeter of the triangle below is 38 units. Find the length of side WX. Write your answer without variables
Answers
Answer:
5.5
Step-by-step explanation:
Add each side of the triangle.
3z+z+1+4z-3 = 8z - 2
8z - 2 is equivalent to the perimeter.
Since you know the perimeter is 38 units, you can set 8z-2 to 38.
8z-2 = 38
Solve for z. Subtract 2 from each side.
8z = 36
Divide each side by 8.
z = 4.5
Now solve for side WX.
WX = z + 1
WX = 4.5 + 1
WX = 5.5
Why do candidates want to win states
like Texas, Florida, and New York?
Answers
Write an expression for the sentence: Joe has $12 and he earns $8 per hour
Answers
Answer:
12+8x ugh I gotta type some more bcuz it has to be 12 characters lol
0=5y-x+5 in slope intercept form
Answers
Answer:
y=1/5x-1
Step-by-step explanation:
SI form is Y=mx+b
Hope it’s correct
Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much will she earn each hour after the raise?
Answers
Answer:
28.75
Step-by-step explanation:
We can do 15% of 25 which is 3.75. Add this on to 25, and get 28.75.
The amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.
The raise = 15 % of 25 = 3.75
Total after raise = 25.00 + 3.75 = $28.7
Thus, the amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.
Learn more about the percentage here:
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are the ratio 1:2 and 9:10 equivalent ?
Answers
Answer:
Not in the slightest
Step-by-step explanation:
are these lines perpendicular? yes or no?
y= 4x+2
y= (-1/4)x+12
Answers
Answer: yes
Step-by-step explanation:
Which situation shows a constant rate of change.
Answers
D because it is the only one that is unpredictable
Solve the proportion for x.
StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
x = 2
x = 3
x = 5
x = 10
Answers
Answer:
2
Step-by-step explanation:
had that answer on eg
Answer:
x=2
Step-by-step explanation:
The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form
Answers
Answer:
the answer is 24/25
hope it helps have a nice day! :)
Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)
(−4, −17), (−3, −10), (−2, 5), (−1, 2)
(1, −7), (2, −10), (3, −13), (4, −16)
(1, 1), (2, 4), (3, 7), (4, 10)
Answers
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
All the coordinates are represent linear function.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
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