Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)
7 csc^2 x + 3.5 cot x − 35 = 0

Answers

Answer 1

Answer:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:

sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

Step-by-step explanation:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.  


Related Questions

Good afternoon guys! Can anyone help me with this?

Answers

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

Can someone please help me

Answers

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive

Answers

Answer:

hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)

Its 17 if i id math correctly! sorry bout the other person have a great day

Step-by-step explanation:

For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset

Answers

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

Answer:

10

Step-by-step explanation:

im on enginuity leson multiplying with intager tiles qestion 4

A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit

Answers

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.

WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x

Answers

Answer:

A

Step-by-step explanation:

1

1 " a number x" →x.

2

2 "less than a number x" means to subtract →x−

3

3 "8 less than a number x" means to subtract →x−8.

A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%

B.
8%

C.
15%

D.
18%

Answers

The answer is D. 18%

Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.

Answers

I think it is going to be number 4

Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

(B) is the right answer

A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.

Answers

Answer:

c(h)=12h+6

because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis

Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answers

Answer:

Sorry this is late!

Step-by-step explanation:

Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?

Answers

four hundred fifty five

yoooo i need help lmk the answers​

Answers

well the answer is 6 soo
The answer to your question is 6

7(5a − 4) = 14 − 8a + 1

Answers

Answer:

a = 1

Step-by-step explanation:

7(5a − 4) = 14 − 8a + 1

Distributive property ( multiply what is inside the parenthesis by 7)

7 * 5a - 7 * 4 = 14 - 8a + 1

35a - 28 = 14 - 8a + 1

Combine like terms

35a - 28 = 15 - 8a

Add 8a on both sides

35a + 8a - 28 = 15 - 8a + 8a

43a - 28 = 15

Add 28 on both sides

43a - 28 + 28 = 15 + 28

43a = 43

Divide by 43 on both sides to isolate the variable

43a/43 = 43/43

a = 1

Check

7(5a − 4) = 14 − 8a + 1

Just substitute the "a" with "1"

7(5 * 1 − 4) = 14 − 8 * 1 + 1

35 - 28 = 14 - 8 + 1

7 = 7 CORRECT

Hope this helped!

have a supercalifragilisticexpialidocious day!

The awnser would be a=1

When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?​

Answers

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

Marking brainliest


Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Rewrite the following equation as a function of x
1/16x + 1/320y - 29 = 0
A. F(x) = -9280 + 1/16x
B. F(x) = 9280 - 20x
C. F(x) = -9280 + 20x
D. F(x) = 9280 - 1/16x

Answers

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

What is a function?

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/9046022.

#SPJ2

A company's international marketing group asked the following question to residents of 50 countries: "What has been your experience with American products?" 1) Below Average 2) Average 3) Above Average 4) Good to Excellent

Answers

Answer:

4) Good to Excellent

Please help me! I'm really stuck on this question!

Answers

i think the answerd is a

HELP!!! WILL GIVE BRAINLIEST!!!

If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.

Answers

Answer:

answer: The formula is

(Y2-y1) /(x2-x1)

(3-1)/(5-2)

2/3

Step-by-step explanation:

Have a good day;-)

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Identify whether the given value is a statistic or parameter:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

Answers

Answer:

The value is a statistic, since it is from a sample.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

In this question:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

The value is from a sample, so it is a statistic.

If y=1.8x, then k is equal to...
Is there no solution?

Answers

Answer:

There no solution, because there have no k in this equation.

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Please solve thank you if so

Answers

Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

It’s 30 because multiply

(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?

Answers

Answer:  ΔABC ≅ ΔADB

Step-by-step explanation:

In order to be similar, they must have the same angles.

    ΔABC                                  ΔADB                              ΔDBC

∠A = 180 - (2a + b)             ∠A = 180 - (2a + b)         ∠D = 180 - (a + b)

∠B = a + b                           ∠D = a + b                      ∠B = b

∠C = a                                 ∠B = a                            ∠C = a

ΔABC and ΔADB have the same angles so they are similar.

Triangle TSR is similar to Triangle TNM
Which statement below is true?

Answers

Answer:

[tex]\overline{SR}\sim \overline{NM}[/tex]

Step-by-step explanation:

In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.

A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?​

Answers

Answer:

The measurement of the width is 10cm.

2. Karen has 445 stickers in her collection. There are 221 animal stickers and 174 cartoon stickers. She also has some flower stickers. How many flower stickers does she have?​

Answers

Answer:

c

Step-by-step explanation:

19 ≥ 3f+1 ≥5 pls help

Answers

Answer:

Hi...u should do like this

18>3f>4

6>f>4/3

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PLEASE HELP EXPLAIN TYYYY 2.13 LAB: Expression for calories burned during workoutThis section has been set as optional by your instructor.The following equations estimate the calories burned when exercising (source):Men: Calories = ( (Age x 0.2017) (Weight x 0.09036) + (Heart Rate x 0.6309) 55.0969 ) x Time / 4.184Women: Calories = ( (Age x 0.074) (Weight x 0.05741) + (Heart Rate x 0.4472) 20.4022 ) x Time / 4.184Write a program using inputs age (years), weight (pounds), heart rate (beats per minute), and time (minutes), respectively. Output calories burned for men and women.Output each floating-point value with two digits after the decimal point, which can be achieved as follows:print('Men: %0.2f calories' % calories_man)Ex: If the input is:4915514860Then the output is:Men: 489.78 caloriesWomen: 580.94 calories299420.1660094 what is micro economy what is 3/10 of 68249???????????? Which one!?!? Help please I need help pls help mek+3k Please help me ASAP, Im so stuck. find each missing measure find GF and m Solve for x Show all steps25 x + 100 = 0 guys i have a C in PE. And i just got a C on my exam. Will i still have a C? Im so scared:(( PLEASE HELP ASAP I WILL MARK AS BRAINLYEST Canada is completely surrounded by water. True or false? please help me! ( pythagorean theorem) Simplify: 14 + 3k = 6k - 7k4k = 1414 = -kk = 144k = -14 the confederacy formed to exasperate the indians against the english was motivated primarily by hi......................... Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buythat type of car again. What percent of the people surveyed were satisfied with the car?% of the people surveyed were satisfied with the car. What does this detail revealabout Anne' character? Based on the evidence, choose the most logical research question Mackenzie could use to frame her inquiry. What is identified as a main source of factions? I WILL GIVE BRAINLIEST!!!Is this a simple or a compound sentence?Ramzi put an extra dash of ginger in the cookie batter.Choose 1 answer:(Choice A)AIt's a compound sentence.(Choice B)BIt's a simple sentence.