Solve tan x =cot x for 0 < x < pi

Answers

Answer 1

tan(x) = cot(x)

tan(x) = 1 / tan(x)

tan²(x) = 1

tan²(x) - 1 = 0

(tan(x) - 1) (tan(x) + 1) = 0

tan(x) - 1 = 0   or   tan(x) + 1 = 0

tan(x) = 1   or   tan(x) = -1

x = π/4 +   or   x = -π/4 +

where in both cases, n is any integer.

In the interval 0 < x < π, we get solutions:

x = π/4 from the first family (when n = 0)

x = 3π/4 from the second family (when n = 1)

So the equation has solutions x = π/4 or x = 3π/4.


Related Questions

Original Price = $ 120, %Markup = 4%

So what’s the price?

Answers

Answer:

124.8

Step-by-step explanation:

120*.04=124.8

hey! how are y'all? tell me about your day:)

Answers

hey! i’m doing okay , hmm i didn’t do much today’s besides go to school obviously

Answer:

Hi, I'm doing good, just bored

Joyce paid $60.50 for an item at the store that was 45 percent off the original price. What was the original price?

Answers

Answer:

27.23

Step-by-step explanation:

60.50 divided by .45

Write the equation in slope-intercept form that passes through (-1,-7) and (1,3)

Answers

Answer:

y= -2x + 5

Step-by-step explanation:

Using the two points you get the slope: -2

Using the slope and one of the given points, you can find out the y-intercept, which is 5  

Ethan can jog 6,000 feet in 4 minutes. If he jogs at the same rate, how many feet can he jog in 10 minutes?

Answers

Answer:

12k in 8 minutes, 18k in 12. it would be 15k if you take away 2 minutes.

Step-by-step explanation:

Grace has 2 quartera . Jen have 4 dimesss were ans 1 nickels. Keesha has 3 dimes and 3 nickels. Terry has 1 quarters , 1 dime

Answers

What is this supposed to mean? And what is the question? If I read it correctly, Grace has 50 cents, Jen has 45 cents, Keesha has 45 cents and terry has35 cents

which equation can be used to find 60 percent of 50?​

Answers

Answer:

the answer is [c]

60 percent as a decimal is 0.6 (60/100) so to find 60 percent of 50 you do 50 * 0.6 and you’ll get 30

52 songs on 4 cds
ASAPAPAAPAPAPA

Answers

Answer:

Is it a question

Step-by-step explanation:

Seriously!!!

Today I am trying to change peoples' days for the better. Say something nice in the comments, or answer this "question", whether it's an inspirational quote, poem, picture, or simple 'hi'. I want to make your day, so answer this question, and take my points. Keep Shining!!! Love you all :)

Answers

Answer:

Hello! Thank you a lot! My nice thing would have to be keep going even when things get hard. We all have something unique about us and were all on a journey to figure out what that is. Don't let anyone take away what makes you unique.

Step-by-step explanation:

IT IS FOR 100 POINTS
Which description is paired with its correct expression?

four less than the quotient of a number cubed and seven, increased by three; 4 minus StartFraction n cubed Over 7 EndFraction + 3 five times the difference of a number squared and six; 5 (6 minus n squared) nine more than the quotient of six and a number cubed, decreased by four; 9 + StartFraction n cubed Over 6 EndFraction minus 4 twice the difference of nine and a number squared; 2 (9 minus n squared)

Answers

Answer:

See below

Step-by-step explanation:

I think it’s four less than the quotient of a number cubed and seven, increased by three

I hope you get this right!

Answer:

I think it’s four less than the quotient of a number cubed and seven, increased by three

Step-by-step explanation:

hope this helps

All you have to do is divide 132,000 by 53%.. =69,960

Answers

Answer: 69,960  divide  132,000 by 53%  you get 69.960

Step-by-step explanation:

 

Please answer all three and I am giving brain thing and Max points

Answers

Answer: its a blank page

Step-by-step explanation:

Find the slope of each graph. Express the answer in simplest form.Please show graph ​

Answers

Answer:

Step-by-step explanation:

rise over run. the slope is -3 for 10.

Answer:

-3/1

Step-by-step explanation:

Wich one is SAS
Please helpppp

Answers

Answer: AD=DC

Step-by-step explanation:

Match each complex number with its corresponding distance to the origin.

Answers

Answer:

no

Step-by-step explanation:

bc im better

If prepresents the number of pizzas ordered, and srepresents the number of slices per pizza, then what does ps ⋅ repre

Answers

Answer:

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

Step-by-step explanation:

Please help me, I don’t know how to solve for x on this one

Answers

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

convert to slope form: 3x-4y=8 then graph the line on the grid.​

Answers

Answer: 3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

HOPE THIS HELPS :)

Evan has $0.45 worth of pennies and nickels. He has a total of 21 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Evan has.​

Answers

6 nickels and 15 pennies
6 nickels and 15 pennies

If the two variables in a given theory move in the same direction, which type of relationship do they share?
A negative
B. positive
C. neutral
D.l inverse​

Answers

Using proportionality of variables, it is found that they are classified as positive, hence option B is correct.

What is the proportionality of variables?When two variables move in the same direction, their relation is called direct or positive.When two variables move in the different directions, their relation is called inverse or negative.If they are independent, they are neutral.

In this problem, they move in the same direction, thus they are classified as positive and option B is correct.

More can be learned about proportionality of variables at https://brainly.com/question/1266676

Answer:

positive

Step-by-step explanation:

Two complementary angles are congruent. Which equation gives the measure in degrees, d, of each angle? (Imagine math)

Answers

Answer:

sksi

Step-by-step explanation:

Answer:

5x-8x=y

Step-by-step explanation:

A waffle house offers 19 different types of syrups. If a customer can choose any number of syrups to have with their waffle, how many syrup combinations are possible? Please show work

Answers

Answer:

Step-by-step explanation:

they all just have 19 or less

simplify expressions with distribution
8x – 6(-6x + 4)

Answers

Answer:

44x-24

Step-by-step explanation:

Distribute

Answer:5

Explanation:8x-6=6x+4

8x-6x=6+4

2x=10

x=5

5/9y = 25 was is y ​

Answers

Solve for y by simplifying both sides of the equation, then isolating the variable.

y = 45

find the difference in altitude between a mountain that has an altitude of 4878 feet and a desert valley that is 428 feet below sea level.

Answers

Answer:

4450 I think

Step-by-step explanation:

4878-428=4450

The difference in altitude and desert valley is 53.06 feet.

What is Integer?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

The desert valley that is 428 feet below sea level is (-428).

and, altitude of 4878 feet  is (+4878) feet.

So, the difference is

= 4878 - (428)

= 4878 + 428

= 5306 feet

Hence, the difference is 5306 feet

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ2

4. What is the solution to the system of equations?

5. What is the solution to the system of equations?

6. Explain how to solve the previous problem # 5

Photo is attached

Answers

Answer:

5 and 6

Step-by-step explanation:

4. Find the slope and y-intercept of the line 5x – 8y = -20.

Answers

Answer:

Slope is 5/8.

y-intercept is (0, 5/2)

Step-by-step explanation:

Answer:

this is what u need to do

Step-by-step explanation:

first you need to put it into this

[tex]y=mx+b[/tex]

so this is what is next

[tex]y=-8(5x)-20[/tex]

[tex]y=5x+12[/tex]

Please help
TIME REMAINING
57:49
What is the lowest value of the range of the function
shown on the graph?

-♾
-2
0
3

Answers

Answer:

it looks like its negative 2

Answer:

it's -2.

you probably don't want a explanation but in case someone asks you about it just tell them that "range" is the area from up to down and they're asking for the lowest value.

1/4x-3/4=7/x solving the following rational equation for x

Answers

Answer:

x¹= -4 , x²= 7

Step-by-step explanation:

1) Determine the defined range

¼x-¾=7/x =/ 0

2) Move the expression to the left-hand side and change its sign

[tex] \frac{1}{4} x - \frac{3}{4} - \frac{7}{x} = 0 \\ \\ [/tex]

3) Write all numerators above the least common denominator 4x

[tex] \frac{ {x}^{2} - 3x - 28 }{4x} = 0[/tex]

4) When the quotient of expressions equals 0, the numerator has to be 0

x²-3x-28=0

5) Write -3x as a difference

x²+4x-7x-28=0

6) Factor out x from the expression

x(x+4)-7x-28=0

7) Factor out -7 from the expression

×(x+4)-7(x+4)=0

8) Factor out x+4 from the expression

(x+4)×(x-7)=0

9) When the product of the factors equals 0, at least one factor is 0

x+4=0

x-7=0

10) Solve for the x

x+4=0 -> x= -4

x-7=0 -> x=7

11) Check if the solution has defined range

x= -4

x=7

12) The solution has 2 solutions

[tex]x1 = - 4 \: \: x2 = 7[/tex]

Answer:

The correct answer is -9

y = 3x - 4
y =- 1x +4

Answers

I’m thinking this is a systems of equations so here’s how you do it. Hope it helps!!!!
Other Questions
Question 9 of 15 The Maori are the native population of O A. Indonesia O B. Australia C. New Zealand O D. Malaysia Alexa has paper rectangles of different sizes of a rectangle is 7 cm longer than it is with is there a proportional relationship between the length and width of these rectangles Does tone have an effect on how we speak to each other everyday? Question 2 of 10Investors who go through a capital formation process can expect:A. a decrease in the diversity of their capital investments.B. their capital to be used to fund high-risk investments.C. banks to take control over a large portion of their capital.OD. the amount of capital they control to increase.SUBMIT How many 1/4 cups servings are in 5/8 cup. HELP PLEASE Who did Montag initially believe was most likely driving the beetle that almost ran him over? Fred is landscaping his backyard. He needs to create concrete steps with two levels. He has about8000 cubic inches of concrete left over from another project. Decide if each statement below is true or false. Select True or False for each statement. A. The rear rectangular prism has twice the volume of the front rectangular prism.B. The front rectangular prism has a volume of 2880 cubic inches. C. Fred has enough concrete left over to build the steps. please help answer this question HOLY F THE I JUST ASKED OUT MY CRUSH!!!! SHE SAID YES!!!Now wha lol if i turn on a light and say that it will turn on is it fact or opinionbrainlest 10) the three factors that affect the rate of weathering are:A.climate, color, and air qualityB. climate, type of rock and pollutionC. climate, luster of rock, and pollution 13, 27 ,81, 21, 43, 48, 23, 39, 45 al the prime numbers? What is the slope of the line? In what ways does showing an understanding of a texts universal and central ideas make your analysis stronger? Before being nominated for president she/he must win A depressant slows the activity of the brain and body and lowers heart rate and respiration. a) True b) False John has 15 nickels, 7 dimes and 9 quarters. How much moneydoes John have in dollars? The bell rings and a physics student heads to class. They stop to talk to a few friends. They slowdown to look at a poster on the wall. They get to class just as the bell rings. In the 5 minutes it tookthem to get to class, their average speed was 1.4 m/s. How far did they walk? Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900 What was the impact of Charles A. Lindbergh on American society in the 1920s?A. As a member of the "Lost Generation," he wrote novels while living in Paris.B. As the first pilot to cross the Atlantic, he represented the triumph of individual courage.C. As an American of German ancestry, he opposed restrictions on immigration.D. As a tireless fighter for Civil Rights, he helped reduce racial prejudice.