PLEASE HELP ASAP!!! URGENT
Verify the identity. Sinx/1-cosx = cscx+cotx
Please use the answers shown in the image !! Thank you !!
Answers
Answer:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]
Step-by-step explanation:
Now we proceed to show all steps needed to demonstrate the trigonometric identity:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex] [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex] Fundamental trigonometric identity.
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex] Factorization.
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.
Related Questions
help please grade 8 20 points and i need it
Answers
Answer
1) (4,6)
2) (5,5)
3) (2,6)
Step-by-step explanation:
From the previous video: At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest
compounded monthly. In the previous question, we found that the value of the annuity at age 65 would be $77,119.43.
How much interest did you earn?
Round your answer to the nearest cent and do NOT include the dollar sign.
Do NOT round until you have calculated the final answer.
Answers
Answer: 32119.43
Step-by-step explanation:
Answer:
Step-by-step explanation:
74059.64
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answers
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Please find the answer
Answers
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
Answers
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
Between 2002 and 2012 the population of the town Astopia fell by 4%.
If the population in 2012 was 252,960 find the population of the town in 2002.
Answers
Answer:
https://studyandanswers.com/mathematics/question18362805#
Step-by-step explanation:
Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work
Answers
Answer:
$35.25
Step-by-step explanation:
Find the total number of inches needed.
The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.
8 + 8 + 14 + 14 = 44 inches
he also was an additional 3 inches
44 + 3 = 47
Now we can find the total price
47 inches × $0.75 = $35.25
Hope this helps!
Select all numbers that have an absolute value of 4.
Answers
Answer: 4 and -4
Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.
Answer: 4 & -4
Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .
Step-by-step explanation:
I don't understand this, I really need help!!!!!! quickly
Answers
Answer:
2923.34
Step-by-step explanation:
π×r²×h
3.14 ×7 ²×19 2923.34
2923.34
Step-by-step explanation:
the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82
What is the height of the ball after 5 seconds in feet?
Answers
Answer:32
Step-by-step explanation:
i think the answer will be 32 feet
A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.
The manager recognizes that the data approximates a transformation of the parent sine function, .
Which value is closest to the amplitude of the transformed function?
Answers
Answer:
D. 15
Step-by-step explanation:
I just took the test lol
The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.
As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)
And the minimum value is attends is -15(=40-55)
The graph will be:
y = 15sinx
a = 15
Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
Learn more about the sin function here:
https://brainly.com/question/14397255
#SPJ2
Please answer this teachers
Answers
Answer: What are the options?
What are the options?
Step-by-step explanation:
a home mortgage for a home that costs $672096 with a 4% interest rate for 24 years. How much is the monthly payment for the mortgage with the interest?
Answers
9514 1404 393
Answer:
$3633.96
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
monthly payment for principal P at annual rate r for t years.
A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96
The monthly payment for the mortgage is $3633.96.
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answers
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $3900 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
Required inequalities:
x + y ≤ 16150x + 450y ≥ 3900The graph is attached.
The darker triangle is the solution region.
The solution examples:
(1, 15), (4,12), (5, 10), (11, 5)The first number is chairs, the second number is tables3/25 converted to a decimal
Answers
Answer:
.12
Step-by-step explanation:
First set up your proportion.
[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.
the answer would be 12 hundredths or .12
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answers
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.
Answers
Answer:
No, it is not a valid way
Step-by-step explanation:
Required
Is Susie's method valid?
Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.
In other words, Susie's method will not work when the two numbers have a common factor.
Take for instance, the LCM of 2 and 4.
Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.
4 Does the equation y = x represent a function? Explain why or why not.
Answers
Answer:
y=x is a function!
Step-by-step explanation:
The reason it is a function is because it can create a:
A slope
A why y and x intercept
and a graph
Remember that x=1 and Y=1 ALWAYS
URGENT WILL GIVE BRAINLIEST!!!!
Answers
Answer:
7/10
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)
You have a 70% chance of picking an odd number.
find sin(b) in the triangle
Answers
Answer:
We need the triangle, please
Explanation:
Can't find anything about a triangle without the triangle
Answer:
0
Step-by-step explanation:
Sin(undefined) reports 0.
If the value is not undefined, please provide the triangle.
Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no
Answers
Answer:
No
Step-by-step explanation:
[tex]y<-\frac{1}{3} x-2[/tex]
put in 9 for x
y<-\frac{1}{3} 9-2
y<-3 -2
y<-5
then put in -5 for y
-5<-5
Since they are the same number that makes the equation impossible
Hope that helps :)
Determine the missing factor in × 4.3 = 12.9
Answers
Answer: 3
Step-by-step explanation:
12.9/4.3 will give you the number it was multiplied by.
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answers
Answer:
The order is 4, 3, 2, 1.
Step-by-step explanation:
I remember isosceles triangles with the two eyes rule - because eye & the “i” in isosceles sound the same, you have two eyes and two sides, lol. just a cute little memory trick. acute angles are smaller than 90 degrees, so that explains the next one. equilateral means the same sides, and equiangular means the same angles (60 degrees each in a triangle!) hope this is helpful & accurate!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
Answer:
x=15
Angle (5x+6): 81
Angle (8x-39): 81
Step-by-step explanation:
5x+6=8x-39
add 39 to both sides
5x+45=8x
-5x on both sides
45=3x
divide both sides by 3
x=15
Point M is on line segment LN. Given LN=4x, MN= x, and LM=3, determine the numerical length of LN.
Answers
Answer:
LN = 4 units
Step-by-step explanation:
Since M is on LN , then
LN = LM + MN , that is
4x = 3 + x ( subtract x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Then
LN = 3 + x = 3 + 1 = 4
The required length of the line LN = 4.
Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3, to determine the numerical length of LN.
The line is a curve showing the shortest distance between 2 points.
LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1
Length of LN
LN = 4x
= 4 * (1)
= 4
Thus the required length of the line LN = 4.
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
Evaluate the discriminant.
Exact answer (no rounding)
0= -4x – 24x – 38
Answers
me ayudan por favor?
solo son 10 preguntas abc
Answers
Answer:
hi
Step-by-step explanation:
determine whether you can construct many one or no triangles with the given measures
Answers
Answer:
u cant create any triangles because you have said that there are three 45° angles
which is 45°, 45°, 45°
⇒ 135°
135≠180
every triangle is 180°
therefore no triangle
MARK ME BRAINLIEST
Another one plssssssssssssssssss
Answers
Answer:
3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it