Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()

Answers

Answer 1

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]


Related Questions

A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of canola seed are needed to seed the new field?
52
16
53
17

Answers

Answer:

17

Step-by-step explanation:

Assuming the field is a rectangle, the perimeter is found through the equation:

[tex]P = 2l + 2w[/tex]

Since we know the perimeter and width, we can substitute and solve for the length.

[tex](220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\[/tex]

Using the length and width, we can find the area.

[tex]A = lw\\A = (48)(62)\\A = 2976[/tex]

The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.

[tex]n = 2976 / 185\\n = 16.09[/tex]

Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.

Help with this
Please

Answers

Answer:

1. B

2. E

3. D

4. F

5. A



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Explain why these exponential expressions are equal to each other. Justify your answer.

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5

Answers

A) x is less than it equal to 1 because your domain can’t have h(x) because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the x coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

el 14 es primo ayuda es urgente

Answers

Answer:

no es primo

Step-by-step explanation:

El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.


Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D

Answers

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

4 units towards left side of x axis . 1 unit above y axis.

From figure , Point C

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP FAST IT'S ASAP

Answers

Answer:

572.3

Step-by-step explanation:

Diameter = 27m

Radius = d / 2 = 27 / 2 = 13.5m

Area = pi x r²

= 3.14 x (13.5)²

= 3.14 × 182.25

= 572.3

A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate

Answers

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

please help hghjhghjjgfhjjjfhgfhbfhgkfgh

Answers

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

C because there are 5 white marbles and 5x3=15 which is the number of black marbles.

Write each verbal expression as an algebraic expression.

6 times the difference of d and 5

help please

Answers

Answer:

6(d-5)

Step-by-step explanation:

i think this must be the equation

a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/

Answers

Answer:

40% chance

Step-by-step explanation:

4 marbles out of 10 are red. 4/10= 0.4= 40%

Answer: 2/5

Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.

To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.

:)

HELLllllllPPppppp !!!

Answers

9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?

Answers

Answer:

260 + 4x < 400

Step-by-step explanation:

To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.

First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.

To construct our inequality, we can begin with the estalished $260.

Then, add to this the hourly rate, (x) times the number of hours worked, 4.

So we have-

260 + 4x

The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.

260 + 4x < 400

The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^

Nolan has some nickels and some dimes he has no more than 19 coins worth no less than $1.30 combined if Nolan has 5 nickels determine all possible values for the number of dimes that he could have

Answers

Answer:

10.5 ≤ y ≤ 14

Step-by-step explanation:

A nickel is worth 5 pennies. Changing over to dollars, it becomes  

5/100 = $0.05  

A dime is worth dime. Changing over to dollars, it becomes  

10/100 = $0.1  

Allow x to address the number if nickels.  

Allow y to address the quantity of dimes.  

He has close to 19 coins. This implies that  

x + y ≤ 19  

He has no under $1.30 joined. This implies that  

0.05x + 0.1y ≥ 1.3  

On the off chance that Nolan has 5 nickels, subbing x = 5 into x + y ≤ 19, it becomes  

5 + y ≤ 19  

y ≤ 19 - 5  

y ≤ 14  

subbing x = 5 into 0.05x + 0.1y ≥ 1.3, it becomes  

0.05 × 5 + 0.1y ≥ 1.3  

0.25 + 0.1y ≥ 1.3  

0.1y ≥ 1.3 - 0.25  

0.1y ≥ 1.05  

y ≥ 1.05/0.1  

y ≥ 10.5  

Along these lines, all potential qualities for the quantity of dimes that he could have would be  

10.5 ≤ y ≤ 14

A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?

Answers

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49



B
2.26+0.490.49



C
2.26−0.492.26



D
2.26+0.492.26


which one

Answers

Answer: its C

Step-by-step explanation:

HOPE THIS HELPS

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet

CAN YALL ANSWER THIS PLS IM CRYING CUZ ITS DUE LATE ANYONE PLS NO TROLLS JUST PLS ANSWER IM CRYING ILL GIVE BRAINLIEST AND 5 STARTS AND A THANKS JUST PLS :(

Answers

Answer:

B and E

Step-by-step explanation:

-14 is the answer that is used to see if they are equal or not

A is incorrect because it equals -6.

B is correct because it equals -14.

C is incorrect because it equals 6.

D is incorrect because it equals -6.

E is correct because it equals -14.

3. Find the measure or arc JK.
Hint - arc LK is a semi circle

A.) 90
B.) 116
C.) 128
D.) 130

Answers

Answer:

C

Step-by-step explanation:

KL = 180°

JL = 2×26° = 52°

KL = KJ + JL

KJ = KL - JL

KJ =180° - 52°

KJ = 128°

Please help, due in 45 minutes.

What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3?

A: -2
B: 2
C: 3
D: -3

Answers

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Hello I have done the question and the answer is 2 so B

9000 is perfect square number?​

Answers

Step-by-step explanation:

no it's not.....

........

Answer:

no

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min

Answers

Answer:

25 km

Step-by-step explanation:

100/20=5

5*5=25

You can use proportion
Km Min
5 20
? 100

(5*100)/20
500/20
=25

Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains more trail mix? Why

Answers

Answer:

The answer is "smaller bag ".

Step-by-step explanation:

Please find the complete question in the attached file.

There are more trail mixes in the smaller pack.

It's because in the smaller bag (6.8 ounces) the trail mix is more than in the bigger bag (6.18 ounces).

It was reasonable because the capacity of the bag is not stated, and both bags will contain far more than 6,8 ounces.

please help i’ll give brainliest

Answers

Answer:

Organisms that break down dead or decaying organisms

Step-by-step explanation:

Hope this helps :b

Answer:

Organisms that break down dead or decaying organisms.

Step-by-step explanation:

Decomposes are things like bacteria that eat away at dead animals or organisms to break them down. This process also releases carbon dioxide into the air.

Can someone please help?

Answers

1- highest was 98 lowest was 74!

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

What’s the surface area of this prism

Answers

the surface area is acute

work out 5/9 0f 100. give your answer to nearest whole number

Answers

Answer:

56

Step-by-step explanation:


Find the midpoint of the line segment joining the points R(1,3) and S(-3,6)

Answers

Answer:

(-1, 4.5)

Step-by-step explanation:

[(1-3)/2, (3+6)/2]

= (-2/2, 9/2)

= (-1, 4.5)

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

the height is 9.8 cm

Step-by-step explanation:

71.54 ÷ 7.3 = 9.8

find 2/3 - 8/9 how can you write the expression using a common denominator

Answers

2/3 x 3/3 = 6/9

So it would be 6/9 - 8/9
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Prepare an Income statement for the month using absorption costing which of the following us the set of prime factors of 12?a){1,3} b){2,3} c){2,4,6,8} c){2,3,4,6} Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. 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Arrange the layers in order from youngest to oldest. layer 1 layer 2 layer 3 layer 4 layer 5 layer 6 layer 7 layer 8 Distance between Train 1 and Train 2 = 95 miles.Average speed of Train 1 = 45 mph.Average speed of Train 2 = 60 mph.If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)Travel time = hours. Calculate the volume in mL of 53.2 g of .251M solution of HCl. Which historical world event connects most closely with the themes of William Goldings Lord of the Flies?McCarthyismthe Holocaustthe assassination of Julius Caesarthe American Revolution Create a class to represent light bulbs Create a class called Bulb that will represent a light bulb. It should have instance variables for the manufacturer (String), part number (String), wattage (int) and lumens (int). Get and Set methods should be included. Override the equals and to String methods from class Object. List of Bulbs Create a class called BulbNode which has fields for the data (a Bulb) and next (BulbNode) instance variables. Include a one-argument constructor which takes a Bulb as a parameter. (For hints, see the PowerPoint on "Static vs. Dynamic Structures".) public BulbNode (Bulb b) {...} The instance variables should have protected access. There will not be any get and set methods for the two instance variables. Create an abstract linked list class called BulbList. This should be a linked list with head node as described in lecture. Modify it so that the data type in the nodes is Bulb. The no-argument constructor should create an empty list with first and last pointing to an empty head node, and length equal to zero. Include an append method in this class. Create two more linked list classes that extend the abstract class BulbList: One called UnsortedBulbList and one called SortedBulbList, each with appropriate no-argument constructors. Each of these classes should have a method called add(Bulb) that will add a new node to the list. In the case of the UnsortedBulbList it will add it to the end of the list by calling the append method in the super class. In the case of the SortedBulbList it will insert the node in the proper position to keep the list sorted by wattage. Instantiate two linked lists, and for every Bulb read from the file, add it to the unsorted and sorted lists using the add method. You will end up with the first list having the Bulbs from the input file in the order they were read, and in the second list the Bulbs will be in sorted order. Display the unsorted and sorted Bulbs in a GUI with a GridLayout of one row and two columns. Put the unsorted Bulbs in the left column, and the sorted Bulbs in the right column. The input file There will be an input file provided on Blackboard which contains information about bulbs, one per line, with the manufacturer, part number, wattage and lumens separated by commas, such as: Phillips, 1237DF2, 100, 1200 You can separate the four items using a StringTokenizer. Submitting the Project. You should now have the following files to submit for this project: Project2.java Bulb.java BulbGUI.java BulbNode.java BulbList.java UnsortedBulbList.java SortedBulblist.java Submit a jar file. Rather than upload all the files above separately, we will use Java's facility to create the equivalent of a zip file that is known as a Java Archive file, or "jar" file. Instructions on how to create a jar file using Eclipse are on Blackboard. Create a jar file called Project2.jar and submit that. Be sure the jar file contains source code, not classes.