Choose a justification for each step in the derivation of the sine difference identity.
Step 1:
Step 2: Distributive property
Step 3: Associative property
Step 4: Factoring out –1
Step 5:
Step 6:
Step 7:
Answers
The Sine difference function was derivated with the help of the sine sum function.
What is the sine difference function?The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.
As we know that
[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)
If we replace b by -b equation (1) becomes
[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]
We know that
Cos(-b) =cosb
Sin(-b) =-Sinb
So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]
Therefore, the Sine difference function was derivated with the help of the sine sum function.
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Related Questions
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answers
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
Karsyn is getting ready for her date. She has 20 outfits to choose from. Half of her
clothes are dirty. Her mom washed 3 more outfits, how many outfits would Karsyn have
had to choose from if she did her laundry?
Identify the variable:
Write the equation:
How many outfits did she have?
Answers
A single bus fare costs $2.35. A monthly pass costs $45.75. Celine estimates that she will ride the bus 25 times this month. Kamal estimates that he will ride the bus 18 times. should they both buy monthly passes? Explain.
Answers
Answer:
No they shouldn't.
Step-by-step explanation:
Monthly pass: Celine: $1,143 Kamal: $823
Single Pass: Celine: $58 Kamal: $42
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t
Answers
CAN ANYONE DO IT PLEASE.
Answers
Answer:
85°Step-by-step explanation:
see attached image
Which of the following is an equivalent expression to the given expression using the commutative property of addition?
2(xy)+5x
Question 1 options:
(xy)2+5x
(2x)y+5x
5x+2(xy)
x(2y+5)
Answers
Answer:
I think it's the 2rd equation
( 6 x − 10 ) + 1 3 ( 6 + 9 x )
Answers
Answer:
123x + 68
Step-by-step explanation:
Pull out like factors :
6 + 9x = 3 • (3x + 2)
(6x - 10) + 39 • (3x + 2)
Final result : 123x + 68
Answer:
123x + 68
Step-by-step explanation:
(6x - 10) + 78 + 117x
6x - 10 + 78 + 117x
123x + 68
Using the segment addition postulate, which is true?
Answers
Answer:
BC + CD = BD
Step-by-step explanation:
that is the right answer
Answer:
D or BC+CD+BD
Step-by-step explanation:
I need help ASAP
3k+30=95+k+2k-5
Answers
3k+30=90+3k
0k+30=95
0k=65
k=0
2 ¿Cuál es la relación entre el área del dibujo a escala y el área de la cancha de baloncesto real? escala 4.2 pulgadas A. Muestra cómo puedes hallar el área de 1 pulgada : 20 pies D. ¿La razón entre el área real y el área del dibujo es la misma que la razón entre la cancha en el dibujo a escala B. Muestra cómo puedes hallar la longitud y el ancho de la cancha real. C. ¿Cuál es el área de la cancha de baloncesto real? Muestra tu trabajo. las longitudes reales y las longitudes del dibujo? Explica tu respuesta,
Answers
Answer:
i don't have the answer but this is the translation guys
Step-by-step explanation:
What is the relationship between the area of the scale drawing and the area of the actual basketball court? 4.2 inch scale A. Show how you can find the area of 1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,
What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
IF ANYBODY HAS ANSWERS TO THE TEST IM WILLING TO CASH APP
Answers
Answer:
Down 5 and left 3.
Step-by-step explanation:
Answer:
So it goes-8 for x and -5 for y aka to the left by 8 and down by 5
Step-by-step explanation:
Find the total interest:
$40,900 at 6.2%
for 2 years
Answers
6.2% of 40,900 is $2535.8
To find out how much money it'll be in 2 year, you have to use multiplication.
2535.8 x 2 = $5071.6
The interest after 2 years is $5071.6
your welcome
1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =
Answers
2. 7.6278
3. 7.694
4. 14.35289
5. 1.230
Answer:
1. 0.16545
2. 7.6278
3. 7.694
4. 14.35289
5. 1.23
Step-by-step explanation:
Just divide.
Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).
Answers
Answer:
Csc(0)=24/27 and Tan(0)= 24/7
Step-by-step explanation:
We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.
Given this information we can find the length of side opposite to theta, which has length 24.
Now we know:
Hypotenuse=27
Adjacent=7
Opposite=24
Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24
and tan=opposite/adjacent=24/7
If (x-9) is a factor of 2x^2 - 19x + k, what is the value of k?
Answers
Answer:
18
Step-by-step explanation:
6x + 1 = -6(1-x) please show work i need what is x
Answers
Answer:
Step-by-step explanation:
6x+1=-6(1-x)
6x+1=-6+6x
6x+7=6x
7=0
no solution
Mrs. Fekin bought herself a new water jug. The jug of water holds 64 ounces. If she drinks 4 ounces per hour, after how many hours will the jug have 32 ounces in it?
Answers
Answer:
(64-32)/4=8
Step-by-step explanation:
Your answer is 8. Simple Math
please help! thank you
Answers
Because the y intercept on the graph is 3
And when x is 1 y is 2.5
9514 1404 393
Answer:
y = (-7/3)x +3
Step-by-step explanation:
The line has a negative slope (eliminating choices B and C) that is steeper than a line with a slope of -1, The only answer choice with a negative slope less than -1 is choice D.
__
The slope is the coefficient of x. It is "rise"/"run". Here, the line goes through grid points (0, 3) and (3, -4), so drops 7 units (rise=-7) for each 3 units to the right (run=3). Then the slope is rise/run = -7/3.
The line crosses the y-axis at y=3, so the slope-intercept equation is ...
y = mx + b . . . . . . . . slope = m; y-intercept = b
y = (-7/3)x +3
plsss help me out i’m really having trouble a trying to figure this out
Answers
I'm pretty sure it's C. Both.
Answer:
only table A is a function
Table B has two inputes with the same outpute so it is impossible to be a function. but two of the same inputes can have different outputs
What is -5 5/8 + 3 1/2
Answers
Answer:
-2.125
Step-by-step explanation:
write as an algebraic expression: Two less than two times a number (y).
Answers
Answer: 2y-2
Step-by-step explanation:
Y represents the number
If you were to solve this you would have to do 2 times a number which is shown by 2y.
Then, you need to subtract 2 from 2y.
Therefore, the answer is 2y-2
The expression for the given verbal expression is 2y-2.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a verbal expression, Two less than two times a number.
We need to convert it into mathematical expression,
Let the number be y,
Therefore, two times a number = 2y
And Two less than = -2
Therefore,
Two less than two times a number = 2y-2
Hence, the expression for the given verbal expression is 2y-2.
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Find the difference between 15.89 and 8.036
Answers
Answer:
7.854
Step-by-step explanation:
Which graph represents a linear function?
Answers
Answer:
If it is not a straight it is not considered a linear function. The image does not show all of the graphs, but it is not a linear function.
Xavier can paint the average house in 4 hours, while Mohamad can do it in 12 hours. Find the number of hours, $$, that it would take to paint a house if they both worked together.
Answers
Answer:
3 hours
Step-by-step explanation:
Xavier can paint the average house in 4 hours
This means that in 1 hour, Xavier paints 1/4 of the house
Mohamad can do it in 12 hours
That means in 1 hour, Mohamad paints 1/12 of the house
Hence,
Together the amount of the house they can paint in 1 hour is
1/4 + 1/12
The Least common denominator is 12
(3 × 1 + 1 × 1)/1#
= 3 + 1/12
= 4/12
= 1/3
Together they can paint 1/3 of the house
The number of hours, that it would take to paint a house if they both worked together is
= 1/3 = 1
Cross Multiply
= 3 × 1
= 3 hours
Math question help, it’s in the photo. Thank you!
Instructions: Write and solve an equation to find the measure or angle x.
Answers
Answer:
x = 30
Step-by-step explanation:
Okay the triangle should add up to 180.
The square represents a right angle = 90°
So just do this
60° + 90° + x = 180 (collect like terms)
150° + x = 180 (subtract 150 on both sides)
x = 30
Hope this helps ya!
Answer:
x = 30
Step-by-step explanation:
the trinagle has an angle of 180.
and the trainage has a 90° next to the 60
So
60° + 90° + x = 180 (there are term)
150° + x = 180
subtract 150 on both sides
150 - 150 180-150 = x = 30
Which statement is Irue about the given information?
+
B
с
DE
Answers
Answer:
b
Step-by-step explanation:
awnser 3
both are congrent
one exterior angle of a regular polygon measures 22.5 degrees. How many sides does the polygon have?
Answers
Answer:
16
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 22.5 to find the number of sides n
n = [tex]\frac{360}{22.5}[/tex] = 16
It an be concluded tat the regular polygon has 16 sides
A regular polygon is a polygon with equal angles and equal sides.
The sum of exterior angles of a regular polygon is 360°
According to the given data
One exterior angle of a regular polygon measures 22.5 °
Let us consider that the regular polygon has "n" sides
So from the exterior angle sum property of the regular polygon we can write that
[tex]\rm n \times 22.5\textdegree = 360 \textdegree\\ n = 360\textdegree /22.5\textdegree \\n = 16[/tex]
So it an be concluded tat the regular polygon has 16 sides
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.
What is the greatest common factor (GCF) of 36 and 64?
Answers
hope this helps! :)
The greatest common factor of 36 and 64 is 4.
Here,
To find the greatest common factor (GCF) of 36 and 64,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 36:
36 = 2 * 2 * 3 * 3
Prime factorization of 64:
64 = 2 * 2 * 2 * 2 * 2 * 2
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(36, 64) = 2 * 2 = 4
So, the greatest common factor of 36 and 64 is 4.
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I need help. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a shadow that is 0.8 m long. How tall is the person?
Answers
Answer:
1.28 m
Step-by-step explanation:
48/30 = x/.8
cross multiply
30x = 48(.8)
30x = 38.4
x = 38.4/30
x = 1.28 m
Please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-1, -5).
Select one:
a. -x + 3y + 14 = 0
b. x - 3y - 14 = 0
c. 3x - y - 2 = 0
d. -3x + y + 2 = 0
Answers
Step 1: We start by writing the equation of the line in slope-intercept form by solving for b.
[tex]-5 = 3(-1) + b\\\\-5 = -3 + b\\\\-2 = b\\[/tex]
Step 2: Now we set up the equation of the line in slope-intercept form.
[tex]y = 3x - 2[/tex]
Step 3: We can now convert the above equation from slope-intercept form to standard form.
[tex]y = 3x - 2\\\\-3x + y = -2\\\\-3x + y + 2 = 0[/tex]
The equation of the line in standard form is: D: -3x + y + 2 = 0.