Graphing Trigonometric Functions

Graphing Trigonometric Functions

Answers

Answer 1

Illustrations in reverce order

Explanations:

6. [tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]

You can choose to figure the period out by looking at the distanse between each endpoint on the x-axis, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes, so you figure out what you want to put in the blank, but make sure it is not a numerical value. Not even ZERO can be plased there.

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5. [tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 4[/tex]

You can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.

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4. [tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 3\frac{1}{2}[/tex]

Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midine.

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3. [tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]

Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.

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2. [tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1[/tex]

Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.

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1. [tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\pi}{1} \\ Amplitude \hookrightarrow N/A[/tex]

Again, you can choose to figure the period out by looking at the distanse between each endpoint on the x-axis, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period.

I am delighted to assist you at any time.

*I also apologise for the sixth photograph not being present [exercise 1]. The system ALL OF A SUDDEN no longer allows me to display more than five photographs. You will have to see the graph somewhere elce.

Graphing Trigonometric Functions
Graphing Trigonometric Functions
Graphing Trigonometric Functions
Graphing Trigonometric Functions
Graphing Trigonometric Functions

Related Questions

1. Find the lengths of the sides of each triangle.

2. Explain why the Triangles are not congruent. ​

Answers

Answer:

.....?....................

Five times a number is 30?

Answers

Answer:

oh 5 x 6 = 30

Step-by-step explanation:

Hope this is helpful! Have an amazing night or day!

5 x 6 = 30
5x1=10
5x2=10
5x3=15
5x4=20
5x5=25
5x6=30
5x7=35
5x8=40
5x9=45
5x10=50

Simplify the expression (8t)^4

Answers

4096t^4

8t^4 = 8t x 8t x 8t x 8t

8x8x8x8= 4096

txtxtxt = t^4

Put em together and you get 4096t^4 :)

What is the answer to a triangle translation where A is (1,4), B is (2,-2) and C is (-3,2) What is the Answer to A

Answers

Question:

A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices ​ A′(5, 4) ​, ​ B′(6, -2) ​​, and C′(1, 2)​.

Answer:

[tex](x,y) ==>[/tex] [tex](x + 4,y)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,4)\\B = (2,-2)\\C = (-3,2)[/tex]

[tex]A' = (5,4)\\B' = (6,-2)\\C' = (1,2)[/tex]

From the translation of triangle ABC to A'B'C',

It will be observed that the y coordinates of both triangle remain unchanged.

This implies that triangle ABC is translated on the x coordinates alone.

Considering the x coordinates of A and A', we have:

[tex]1 + k = 5[/tex]

Make k the subject

[tex]k = 5 - 1[/tex]

[tex]k = 4[/tex]

When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.

Hence, the rule of translation is:

[tex](x,y) ==>[/tex] [tex](x + 4,y)[/tex]

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Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

Find the length of XY

Answers

Answer:

the length of xy =6ft

I hope this help

What is the value of x? (attachment)

Answers

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS

Answers

Answer:

5 games

Step-by-step explanation:

1.50x + 1.25 = 8.75

1.50x = 7.50

x = 5

Which equation represents a line which is perpendicular to the line 6x + y = 1?

Answers

Perpendicular: y = -1/6x + 1

The equation of line perpendicular to the line A is y = ( 1/6 )x + b

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

6x + y = 1

On simplifying , we get

Subtracting 6x on both sides , we get

y = -6x + 1

Now we can see that the slope of the given line is -6.

The slope of a line perpendicular to this line will be the negative reciprocal of -6, which is 1/6.

Therefore, an equation of a line that is perpendicular to the line 6x + y = 1 is of the form:

y = ( 1/6 )x + b

Hence , the equation of line is y = ( 1/6 )x + b

To learn more about equation of line click :

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Leo’s dad brought home some bagels and muffins. Each bagel cost $0.90 and each muffin cost $0.80. Altogether he brought home 9 items for a total cost of $7.60.

Answers

Answer:

Leo's dad bought 4 bagels and 5 muffins.

Step-by-step explanation:

The total cost was 7.60, and had 9 items. I figured that the solution of           (__ x 0.9) needed to end with 60 cents.

4 x 0.9 = 3.6

5 x 0.8 = 4.0

3.6 + 4.0 = 7.60.

Total of 9 items, adding up to 7.60.

Find the missing angle.

Answers

Answer:

126 Degrees

Step-by-step explanation:

180-54=126

Answer:

126 hope it may help u btw thnx for points

Step-by-step explanation:

x +54 =180 bcz of linear pair

then 180-54=126

solve the following equation

please it's urgent




3a + 5b = -9 , 2a + 5b = -11​

Answers

Answer:

a = 2

b = -3

Step-by-step explanation:

Here, we want to solve the two equations simultaneously

since we have the same 5b term in both, we can subtract the second equation from the first

we have this as;

3a-2a = -9 -(-11)

a = -9+ 11 = 2

Recall;

2a + 5b = -11

2(2) + 5b = -11

5b = -11-4

5b = -15

b = -15/5

b = -3

Write the equation in slope and y intercept. Then write an equation in y=mx+b form.

Answers

Answer:

y=x+1 with slope of 1 and y-intercept of 1.

Step-by-step explanation:

Select the correct answer.
Select the place where the digit 6 sits in this number.

7,614,118,872

A.
hundred millions
B.
hundred billions
C.
one thousands
D.
hundred thousands
E.
ten billions
F.
one billions

Answers

It’s hundred millions A is correct

Answer:

A. Hundred millions.

Step-by-step explanation:

Growing up, the easiest method I've found in terms of finding which place a number is is as follows: change the number you're looking for into a 1, change everything after it into a 0, drop everything before it, and ask yourself what that number is. That may seem a little odd, but here's some examples.

Let's say we have the number 91,582. We want to figure out what place the 5 is in. First, let's change the 5 into a 1, like so: 91,182. Next, we'll change all the numbers afterwards into 0s, like so: 91,100. Finally, we'll drop every number before the 1, leaving us with 100. Now, ask yourself what that number is. It's one hundred. That means that the 5 is in the one hundreds place.

Let's apply this to our given number. First, let's go ahead and change our 6 into a 1: 7,114,118,872. Next, let's change all the numbers after the 1 into 0s: 7,100,000,000. Finally, let's drop all numbers before our 1: 100,000,000. Our final number is one hundred million. This means that the 6 is in the one hundred millions place. Please let me know if you have any questions!

can someone help me on this one!

Answers

Answer: Pay less sells the lowest price per marker.

Step-by-step explanation:

To get to one marker divide 10 by 10 and do same to other side. EX. 10/10=1, 2.50/10=0.25

To get to one marker divide 20 by 20 and do same to other side. EX. 20/20=1, 4.00/20= 0.2

answer if you want to

Answers

Answer:

Surface area= 124 in^2

Step-by-step explanation:

What are the answers ?

Answers

Answer:

All of the answers if you consider the dashes both negative and positive, but if they are negative then its the last 3 only.

Step-by-step explanation:

y= 5x2+ 10x - 2
A =
opens=

vertex=

Answers

Axis of symmetry: x= -1
Vertex: (-1 , -7)
Opens Up
No asymptotes

400 is 75% of what number?

Answers

Answer:

534  

Step-by-step explanation:

Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?

Answers

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

can u plzzzz help me brainliest​

Answers

3(4m-2) -2(m+5)
12m -6 -2m -10
10m -16
answer is 10m -16 :)
10m - 16 might be the answer. im pretty sure

Help! 30 Points! Find x

Answers

Answer:

do math

Step-by-step explanation:

1.
Solve for x=
35, 103

Answers

Given:

A figure of a circle with secants intersecting inside the circle.

To find:

The value of x.

Solution:

According to the intersection theorem of secants, if two secants intersect each other inside the circle, then the angle on the intersection is the average of the intercepted arcs.

Using the intersection theorem of secants, we get

[tex]x^\circ=\dfrac{1}{2}(35^\circ+103^\circ)[/tex]

[tex]x^\circ=\dfrac{1}{2}(138^\circ)[/tex]

[tex]x^\circ=69^\circ[/tex]

[tex]x=69[/tex]

Therefore, the value of x is 69.

a) josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4, she needs to make 49 litres of punch for a party. how much of each ingredient does she need (in lires)

b) During the party josie decides tio make some more. she has 15 litres of fruit juce left and plenty of lemonade. how much extra punch can she make? (answer in letres)

c) to make the second batch of punch go further josie adds 4 more lires of lemonade. what is the ratio of fruit juice and lemonade in the second batch? (answer in ratios e.g 5:9)

Answers

Answer:

1. Josie needs 21 litres of fruit juice need 28 litres of lemonade.

2. Josie can make an extra of 35 litres of punch.

3. 5:8

Step-by-step explanation:

a) The ratio of the fruit juice to lemonade = 3:4

Total litres of punch to be made = 49

Amount of fruit juice needed = [tex]\frac{3}{7}[/tex] x 49

                                                 = 21 litres

Amount of lemonade needed = [tex]\frac{4}{7}[/tex] x 49

                                                  = 28 litres

Thus, she would need 21 litres of fruit juice need 28 litres of lemonade.

b) She has 15 litres of fruit juice left. Let the litres of punch to be made be represented by s.

[tex]\frac{3}{7}[/tex] x s = 15

s = 35

Josie can make an extra of 35 litres of punch.

c) For the second batch, she needs;

15 litres of fruit juice needs 20 litres of lemonade.

But adding 4 more litres to the lemonade makes the total litres of lemonade to be 24.

Thus the ratio of the juice to lemonade = 15:24

                                                                 = 5:8

algibric equations that equal 13

Answers

(1-2+3•(45/5)/2 that equals 13


(4 x 10')(5.2 x 10-3)

Answers

Answer:

I think it's 1456

Step-by-step explanation:

first, you have to calculate what in the parenthesis

(4*10)=40

(5.2*10-3) =(5.2*7)

5.2*7=36.4

so after you multiply 40*36.4

which equals 1456

CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3x^2-3x+8-9/x+1

Step-by-step explanation:

well I have to find area but like I'm confused how too, it's also mixed shapes that's where I'm confused​

Answers

You need to separate each part into the different shapes and find there areas and add them all together

Answer:

Area for circle is Pr²

say 13 in from side of circle to other side, cut it in half so its going to be 6.5.Now multiply 3.141 x 6.5² and that is the area. For square multiply the length x width and the same for rectangle length x width.

Shaniya owns a company that rents cars called car go. The following bar graph summarizes the type of vehicles rented last week .

Answers

Answer:

25%

Step-by-step explanation:

Add the amount of vehicles all together and since it is asking for vans, there are 5 vans out of the 25 total vehicles. So 5/25 is equal to .25

Do you guys know the answers to these?

Answers

Answer:

The first one is 0 slope.

The second one undefined slope.

Step-by-step explanation:

I hope it helps you!!!:-)

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