At which value will the graph of y = cotx have a zero?

Answers

Answer 1

Answer:

/2.

Step-by-step explanation:

Answer 2

y = cot x have zero for value of x = nπ + π/2

What are trigonometric ratio ?

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short.

Given equation,

y = cot x

It is given that cot x = 0

cot is zero in the first and the third quadrants.

cot π/2 = 0.

In the first quadrant, x = π/2

In the third quadrant, x = π + π/2 as cot 3π/2 = 0

Thus, the principle solutions are: x = π/2, and 3π/2.

Now,

cot x = cot π/2

Therefore, x = nπ + π/2, where n ∈ Z is the general solution.

Hence, for value of x = nπ + π/2, graph of y = cot x have a zero.

Learn more about trigonometric ratio here:

https://brainly.com/question/25122832

#SPJ2


Related Questions

Find the slope of the line that passes through (5, 6) and (1,9).

Answers

Answer:

m = -3/4

Step-by-step explanation:

random characters ahagauabaklZo

Answer:

The slope is -3/4 or -.75.

Step-by-step explanation:

y1-y2 over x1-x2

Plug it in

9-6 over 1-5.

9-6=3

1-5=-4

Which equals -3/4 or -.75.

Please help please.

Answers

Answer:

It will be the 4th one because that is what a function is

what is the square root of -8

Answers

Simply, it cannot be done. In order to calculate this, the number would need to be positive.

Step-by-step explanation:

[tex] \sqrt{ ( - 8)} = 2 \sqrt{2} i[/tex]

last month Mrs. Hamilton bought a 4 pound bag of potatoes for $9.12. This month she purchased a 6 pound bag of potatoes for $11.40. What is the difference in the unit cost per pound that Mrs. Hamilton paid​

Answers

Answer: 38 cents

Step-by-step explanation:

i could be wrong though

Is 4(3x – y) and 12x – 4y equivalent? yes or no, if so how is it? HELP ASAP PLEASE AND THANK YOU!

Answers

Answer:

Yes!

Step-by-step explanation:

If you distribute 4 into 3x-y, you will get the same thing (12x-4y) meaning they are equivalent.

Answer:

Yes

Step-by-step explanation:

4(3x - y)           |        12x - 4y

12x- 4y            =       12x - 4y

hence they are equivalent

N/6 = 1/4 what is n?

Answers

Answer:

n = 3/2

I hope this helps and have a great day :)

And please mark my answer brainliest if you can :)

Answer:

n=3/2

Step-by-step explanation:

3/4 divided by 5/2
pls last answer

Answers

Answer:

Decimal form: .3

Fraction form: 3/10

(work shown below, hope this helped!)

Si a2 - b2 = 7 (a + b), entonces a - b =

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](a + b)(a - b) = 7(a + b)[/tex]

Divide sides by ( a + b )

[tex] \frac{(a + b)(a - b)}{(a + b)} = \frac{7(a + b)}{(a + b)} \\ [/tex]

[tex](a - b) = 7[/tex]

[tex]a - b = 7[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

I’m very confused I tried

If A = -1 +5n2 + 9 and B = 3 – n, find an expression that equals 2 A – 3B
in standard form.

Answers

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

the square root of 97 is between _ and _,and it is closer to_

Answers

Answer:

between 9 and 10. it is closer to 10

9-3 divided by 1/3 + 1 is?

Answers

Answer:3

PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.

What value is multiplied on both sides of the equals sign?

Answers

Answer:

image?????

Step-by-step explanation:

Miss bell decorates her gazebo with colored lights. The base of the gazebo is a circle with a diameter of 12 feet. Using the same length of lights she's going to decorate the side of her garden shed which has a square base. What is the maximum side length of the shed

Answers

Answer:

The maximum side length of the shed = 9.42 ft

Step-by-step explanation:

From the given information:

Miss bell decorates her gazebo with coloured lights who base is a circle with diameter 12 feet. The first find the circumference of the gazebo by using the circumference of a circle since the base takes such shape.

Circumference of a circle = πd

Circumference of a circle = π × 12

Circumference of a circle = 37.699

Then; the circumference of the circle equates to the length of the lights.

However, using the same length, the maximum side length of the  garden shed whose base took a square form can be determined by using the perimeter of a square as the square length, which is;

P = 4L

where;

L = length of sides

37.699 = 4L

L = 37.699/4

L = 9.42 ft

Thus, the maximum side length of the shed = 9.42 ft

A hiker is walking down a mountain. She walked 5978 feet in 17 minutes. In that time she descended 1024 feet feom the top of the mountain. She then walked 3927 feet in 7 minutes. In that time she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as unit rate

Answers

Answer:

[tex]Average \ rate \ of \ change =[/tex] 63.5 ft/min

Step-by-step explanation:

Given that:

A hiker is walking down a mountain.

For the first case:

She descended 1024 feet from the top of the mountain in 17 minutes after walking for 5978 feet.

For the second case:

She descended 500 more feet from the top of the mountain in 7 minutes after walking for 3927 feet.

Thus; the average rate of change in altitude of the hiker from her starting point to her ending point can be expressed as:

[tex]Average \ rate \ of \ change = \dfrac{h_1 +h_2}{t_1 + t_2}[/tex]

[tex]Average \ rate \ of \ change = \dfrac{1024 +500}{17 + 7}[/tex]

[tex]Average \ rate \ of \ change = \dfrac{1524}{24}[/tex]

[tex]Average \ rate \ of \ change =[/tex] 63.5 ft/min

help!!
A car travels 50 miles per hour, h. What expression represents the total distance you’ve traveled?

Answers

Answer:

d = 50h

Step-by-step explanation:

d = distance , h = hours , 50 miles an hour , so 50h

The expression that represents the total distance traveled is 50h .

What is the meaning of Distance ?

Distance is the measure of total movement from one place to another , It is a scalar quantity and can be expressed as m and is not dependent upon the direction of the motion.

It is given that

A car travels 50 miles per hour

expression that represents the total distance traveled = ?

Speed = Distance / Time

Given speed = 50 miles/hour

Let h represents the total time

50 = Distance traveled/h

Distance Traveled = 50 h

Therefore the expression that represents the total distance traveled is 50h .

To know more about Distance

https://brainly.com/question/15172156

#SPJ2

Angle a and b are complementary angles. If a=3x + 9 and b= x-11, find the measure of A.

Answers

x= 11


Explanation:
Complimentary angles sum up to
90

.
Hence
A
+
B
=
90

.

(
3
x

8
)
+
(
5
x
+
10
)
=
90


x
=
90

10
+
8
8
=
11

.

What is the solution for the equation 8x − 12 = 4x? x = ______
(Input whole number only).

Answers

Answer:

x=3

Step-by-step explanation:

Answer: x=3

Step by Step Explanation;

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0 < x < 3.

Answers

Answer:  104/3

Note: in decimal form, this fraction converts to roughly 34.67

=========================================================

Explanation:

Highlight the rows that have x = 0 and x = 3. Cross out or cover the other two rows up.

The two rows that have x = 0 and x = 3 show y = f(x) = 4 and y = 108 respectively.

So we have the two points (0,4) and (3,108). We need to find the slope of the line through these points to find the average rate of change from x = 0 to x = 3.

Turn to the slope formula

m = (y2-y1)/(x2-x1)

m = (108-4)/(3-0)

m = 104/3

We cannot reduce the fraction further.

Using a calculator,

104/3 = 34.67 approximately

Ms. Field counts chapter tests as 40% of a student’s grade, homework as
20%, quizzes, and classwork as 20%, and final exams at 20%. Lydia has an
average of 89 before the final. What score must she get correct on the
final to bring her grade up to 90?

Answers

Answer:

The answer is 94%

How do i do solving systems using elimination

Answers

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

Step-by-step explanation:

....................................................................................

Answers

Answer:

Step-by-step explanation:

4 is broadest

0.25 is narrowest

the sum of two numbers is 181 and their difference is 37.Find the larger of the two integers

Answers

Answer:

  Larger First number: 109

  Second number: 72

Step-by-step explanation:

x + y = 181

x - y = 37

x = 37 + y

(37 + y) + y = 181

37 + y + y = 181

37 + 2y = 181

2y = 144

y = 72

x - y = 37

x - 72 = 37

x = 109

Check:

x + y = 181

  109 + 72 = 181

  181 = 181

x - y = 37

  109 - 72 = 37

  37 = 37

Larger number is x = 109

somebody help quickly please!

Answers

Answer:

x+y-4

Good Luck!!!

what is the percentage of 12 inches to 36 inches

Answers

Answer:

33.33 percent. you would need an infinity bar over the 3, but I cant do that on phone

Hey.... I need some help plz and plz answer the question correctly not like other people that put random answers

Answers

Answer:

150

Step-by-step explanation:

10x15=150

Please help me, I don’t know

Answers

Answer:

I think is the last answer 6 < x

A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question:

“In which quadrant would you find point P if the coordinates of P are (–5, ...”

Assuming that P is not on an axis, what are the possible answers to this question?
quadrant I or quadrant II
quadrant II or quadrant III
quadrant II or quadrant IV
quadrant III or quadrant IV

Answers

Answer:

quadrant II or quadrant III

Step-by-step explanation:

Answer:

its quadrant II or quadrant III

Step-by-step explanation:

help plz ill give brainliest ALL THAT APPLY​

Answers

Answer: I am pretty sure the answer is D.

hope this help.

Answer:

B

Step-by-step explanation:

The x-axis represents the amount of rainfall and the y-axis represents the growth

need help bruh please

Answers

Answer:240fp=20p

Step-by-step explanation:

Answer:

240fp=20p

Step-by-step explanation:

please help asap thank u (will mark brainliest)

Answers

10.47! Hope this helps!!
Other Questions
what directly correlates with crystal size in an igneous rock? T/F 2.In most computers, the operating system is stored on a compact disc. Please help me with number 4 If two angles of a triangle each measure 70, the triangle isdescribed as the difference between mechanical and chemical weathering somebody please help! i will give brainliest!! What is the definition of extrapolation and interpolation? A semi-permeable phospholipid bilayer:cytoplasmcell membranecell wallnucleolus Multiply the following number. Reduce the answer to lowest terms."3 1/8 x 1/7"A. 35/57B. 3 25/56C. 25/56D. 3 1/56 HELP PLEASE I really need the answer The distance Train A travels is represented by d = 80t, where d is the distance in kilometersand t is the time in hours. The distance Train B travels at various times is shown in thetable. What is the rate of each train? Which train is going faster?Time (hours) Distance (km)219043805475The rate of Train A is 160|km per hour.The rate of Train Biskm per hour.Train (select)is going faster. What was Humanism? How did it affect the Renaissance? Help Plz best answer will get marked brainliest. one major difference between the Assembly and the Council of 500? In order to construct a valid criticism, it is important toa come up with a list of your opinions on the subjectb. get the opinion of a peer on the subjectC. research data on the subject, and analyze it for reliabilityd. consider only one factor that may contribute to a possible outcome Evelyn jogged 4.5 miles. How many feet did she run? What part of the negotiations at Velasco did many Texas settlers dislike?a.Many Texas settlers disliked that Santa Anna was allowed to live.b.Many Texas settlers disliked that Santa Anna would convince Mexico to recognize Texas independence.c.Many Texas settlers disliked that the negotiations were held at Velasco.d.Many Texas settlers disliked that the negotiations were all done secretly.Please select the best answer from the choices providedABCD y=-7x+10 in standard form areaoftriangle is 60cm andthe height is 8cm what is the base? PLEASE HELP! WILL AWARD BRAINLIEST! Discuss how the structures of the different chambers and vessels of the heart relate to their functions.