The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answers
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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Related Questions
Pls help with this problem
Answers
Answer:
E = 4.5, F = -6.25, D = -3.25
Step-by-step explanation:
4(9 + 4) – 6(9+2)
Pleaseeeeeeee helllppppp
Answers
Answer:
51
Step-by-step explanation:
4(9+4)-6(9+2)
9(13)-6(11)
117-66
51
Answer:
the answer for 4(9 + 4) – 6(9+2) is 54
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand.
Randomization is important when assigning the participants to the treatment and control groups to ensure
that there will be the same number of participants in both groups.
that the experiment results can be generalized to all people.
that both groups have participants that like both popular juice brands.
that both groups are roughly equivalent with regards to demographics and juice preferences.
Answers
Answer:
D
Step-by-step explanation:
Just took the quiz trust me
Randomization helps to eliminate the effect of sampling bias in an experiment. Therefore, random assignment of participants ensures equivalence in terms of the demographic and juice preference.
When subjects are randomly assigned to the groups, it eliminates the possible bias which may arise from personal preference which subjects have for a particular juice and which may yield a trend which isn't as a reflection of the actual study.
Therefore, the elimination of bias as a result of random assignment helps to strike a balance between the treatment and control samples regarding preference.
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What is the result of isolating x2 in the equation below?
x2 + (y- 5)2 = 30
A. *2 = y2 + 10y+5
B. x2 =-y2 + 10y+25
C. x2 = 30 - y2
D. x2 = - y2 + 10y+5
Answers
Answer:
Step-by-step explanation:
X^2=-y^2+10y+5
Solve each system by graphing or using a table. Check your answers.
- 2x + y = 2
- x + 2y = -2
Use the graphing tool to graph the system.
Click to
enlarge
graph
What is the solution to the system of equations? Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
O A. The solution is
(Type an ordered pair.)
B. There are infinitely many solutions.
OC. There is no solution.
Answers
Answer: no solution
In a survey of 3200 people who owned a certain type of car 800 said they would buy that type of cart again what percent of people surveyed were satisfied with the car
Answers
Answer:
1/4
Step-by-step explanation
800/3200
use that as a fraction then convert into a percent
a) 1.0 mile
b) 5.0 mile
c) 5.8 mile
d) 0.8 mile
Answers
Answer:
d) 0.8 mile
Step-by-step explanation:
Coordinate of object B = (6, 6)
Coordinate of object C = (1, 4)
Coordinate of the archaeologist = (6, 1)
✍️Distance between Object B (6, 6) and the archaeologist (6, 1):
Distance = |6 - 1| = 5 units = 5 miles
✍️Distance between Object C (1, 4) and the archaeologist (6, 1):
Using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], we would have:
[tex] d = \sqrt{(6 - 1)^2 + (1 - 4)^2} [/tex]
[tex] d = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] d = \sqrt{25 + 9} [/tex]
[tex] d = \sqrt{34} = 5.8 units = 5.8 miles [/tex] (nearest tenth)
Comparing how far each object is from the archaeologist, object C is 0.8 mile (5.8 - 5 = 0.8) farther than object B.
Where is the blue dot on the number line?
Answers
Answer:
where is the picture and can you answer the questions on my page for points
Answer: Where is the number line or the blue dot?
a hiker walks 6km uphill along a trail, then returns downhill along the same trail. the hikers average speed is 2km/h greater on the downhill journey. write a simplified rational expression for the total time spent hiking un terms of average speed uphill, v km/h
Answers
Answer:
i
Step-by-step explanation:
he went slower go down because you try sliding gong down
what is the probability that the dart lands within the dartboard?
Answers
Step-by-step explanation:
darts are thrown (equal probability of landing anywhere on the dart board). What's the probability that they all land on a same half of the dart board?
Edit: I know the first 2 darts can land anywhere but don't know how to find the probability that the 3rd lands in an acceptable region.
is this equation proportional and how do you know (i need help!!!!)
Answers
Answer: you
Step-by-step explanation: look it up
The President's cabinet is best described as a:
1. political party
2. group of the President's advisors
3. group of members of Congress
4. the place where the President keeps his Wheaties
Answers
Answer:
number 3
Step-by-step explanation:
Answer:
It's actually number 2
Step-by-step explanation:
I took the test
How would I round .1245 to the nearest Hundredths???
Answers
Answer:
.12
Step-by-step explanation:
See if the number after the hundreths is greater than or 5, which in this case its not, so you will round it by keeping it the same
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answers
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p
Answer this CORRECTLY! The question will be placed first, I'll place the graphs and in order from A - D, then I want to see what you can do. 100 Points Sounds Nice....
Answers
Answer:
Option D
Step-by-step explanation:
x-axis is the Celsius and
y-axis is the Farenheit
If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D. You can assume point (30,86) will also be in the graph by looking at the way the line is going.
This is the same as graphing a line with a point (x,y).
I hope this helps.
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Answers
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
Please help ASAP! Due tonight!
Answers
Answer:
D. x = √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
leg a = 4
leg b = 1
hypotenuse c = x
Step 2: Solve for x
Substitute: 4² + 1² = x²Exponents: 16 + 1 = x²Add: 17 = x²Isolate x: √17 = xRewrite: x = √17PLEASE HELP I DONT UNDERSTAND IT EXPLAIN YOUR ANSWER THO
WOULD IT BE 5
Answers
Answer:
That is correct, The answer IS 5. Good job
Step-by-step explanation:
I know how A.P.E.X can be confusing, but keep trying!
I believe the answer is 5 because that has to add up to 30 because it is a triangle.
PLEASE MARK BRAINLIEST
Answer:
its 90 degrees
Step-by-step explanation:
(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answers
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
The length of a rectangle is the same as the length of each side of a square.
The length of the rectangle is 4 cm more than 3 times the width of the rectangle.
The area of the square is 66 cm? more than the area of the rectangle.
Find the length and the width of the rectangle.
You must show all your working.
Answers
I searched your question and here is what I found:
Step-by-step explanation:
L = 4 + 3W (from the second condition)
L2 = 66 + LW (combining the first and third condition)
L2 = 66 + L(L-4)/3
3L2 = 198 + L2 -4L
2L2 + 4L -198 = 0
(2L - 18)(L + 11) = 0; discarding the negative root for lack of practicality , L = 9
from the first equation W = (L - 4)/3 = 5/3 = 1 2/3; 1.67
Hence the length of the rectangle is 9 cm and the width is 1.67 cm
check;
2nd condition; L = 4 + 3*1.67 = 9 (proven)
1st and 3rd condition; 92 = 66 + 9*1.67 = 81 (proven)
The length of the rectangle is 9 cm.
The width of the rectangle is 5/3 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangle:
Length = 3w + 4
Width = w
Area = (3w + 4)w
Square:
Side = 3w + 4
Area = (3w + 4)²
Now,
The area of the square is 66 more than the area of the rectangle.
This means,
(3w + 4)² = (3w + 4)w + 66
9w² + 16 + 24w = 3w² + 4w + 66
9w² - 3w² + 24w - 4w + 16 - 66 = 0
6w² + 20w - 50 = 0
2 (3w² + 10w - 25) = 0
3w² + 10w - 25 = 0
3w² + (15 - 5)w - 25 = 0
3w² + 15w - 5w - 25 = 0
3w(w + 5) - 5(w + 5) = 0
(3w - 5)(w + 5) = 0
w + 5 = 0 and 3w - 5 = 0
w + 5 = 0
w = -5 (rejected since its negative)
3w - 5 = 0
3w = 5
w = 5/3
Now,
Length.
= 3w + 4
= 3 x 5/3 + 4
= 5 + 4
= 9
Width = 5/3
Thus,
The length and width of the rectangle are 9 and 5/3.
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Simplify 6 - 2³ + (-9 + 5) · 2.
Answers
Answer:-10
Step-by-step explanation: solve by using pemdas and u get -10
It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?
Answers
Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out
Step-by-step explanation:
Answer:
you have to use ads wich is stupid
Step-by-step explanation:
Last year a musician made a profit of $1,500 from the sale of his CDs. If he donated 5% of this profit to charity, how much money did he donate to charity?
Answers
Answer:
$3,000
Step-by-step explanation:
5% = .5
1,500 ÷ .5 = 3,000
i need help with finding the value of x
Answers
Answer:
Step-by-step explanation:
work with the ratios
2x/x+5 = 3/4
Cross multiply
2x *4 =3(x+5)
8x = 3x + 15 ( minus 3x from both sides)
-3x -3x
5x = 15
Divide both sides by 5 to isolate the variable
x = 3
Answer:
x equals 1.5/ one point five
Giving 15 point plz help me
Answers
Answer:
3
Step-by-step explanation:
Looking at the first three values of the table- when the x increases by 1, the y increases by 3.
Answer:
It's 3, I believe.
Step-by-step explanation:
If it isn't I'll remove my answer so someone else can answer. :)
What is the height of the trapezoid?
O 3 units
o 5 units
o 10 units
12 units
Answers
Answer:
5 Units
Step-by-step expla
Answer: b
Step-by-step explanation:
Which of the following can be used to find the measure of angles
Answers
What is the slope of the line given by the function f (x) = 7 – 2x?
Answers
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
I’ll be great if you guys can explain these questions I’ll give brainliest
Answers
Answer:
both yes
Step-by-step explanation:
from my understanding an order pair means the x values from all must never match so
Answer:
no is not pairs function
Explain why when dividing fractions with the same denominator, you can find the quotient by dividing the numerators. Support your answer with an example using one or more mixed numbers.
Answers
By dividing fractions with the same denominator, you can find the quotient as the same as numerators.
To explain when dividing fractions with the same denominator, you can find the quotient to as the same as the numerators.
Here,
Let's assume a fraction a / b
While dividing the fraction a / b with the fraction with the same denominator 1 / b,
= a / b ÷ 1 / b
While dividing the fraction by another fraction then the result shows the fraction as multiplication of the numerator of one fraction with the denominator of another fraction over the multiplication of the denominator of one fraction with the numerator of another fraction.
= a / b * b / 1
= a
Thus, by dividing fractions with the same denominator, you can find the quotient as the same as numerators.
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