1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
6

What is the equation of the graph below?

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer:  The correct option is (A) y=\sin(x+90^\circ).

Step-by-step explanation:  We are to select the correct equation of the given graph.

From the graph, we can see that

y (x = 0) = 1,

y (x = 90°) = 0,

y (x = -90°) = 0,

y (x = 180°) = -1,

y (x = -180°) = -1, etc.

Option (A) is

y=\sin(x+90^\circ).

We have

y(x=0)=\sin(0+90^\circ)=\sin90^\circ=1,\\\\y(x=90^\circ)=\sin(90^\circ+90^\circ)=\cos90^\circ=0,\\\\y(x=-90^\circ)=\sin(-90^\circ+90^\circ)=\sin0^\circ=0,\\\\y(x=180^\circ)=\sin(180^\circ+90^\circ)=-\sin90^\circ=-1,\\\\y(x=-180^\circ)=\sin(-180^\circ+90^\circ)=-\sin90^\circ=-1,~etc.

So, this option is correct.

Option (B) is

y=\cos(x+90^\circ).

We have

y(x=0)=\cos(0+90^\circ)=\cos90^\circ=0\neq 1.

So, this option is not correct.

Option (C) is

y=\sin(x+45^\circ).

We have

y(x=0)=\sin(0+45^\circ)=\sin45^\circ=\dfrac{1}{\sqrt2}\neq 1.

So, this option is not correct.

Option (D) is y=\sin(x+90^\circ).

y=\cos(x+45^\circ).

We have

y(x=0)=\cos(0+45^\circ)=\cos45^\circ=\dfrac{1}{\sqrt2}\neq 1.

So, this option is also not correct.

Thus, the correct option is (A)

Molodets [167]3 years ago
6 0

Answer:A

Step-by-step explanation:

look at the graph and u will find the same answer

You might be interested in
It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se
ozzi

Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
  • Club C, with 5 students.

The possible combinations of 2 students from different clubs are

  • Club A with club B
  • Club A with club C
  • Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

  • Club A with club B: 10*4 = 40
  • Club A with club C: 10*5 = 50
  • Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

6 0
2 years ago
If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
amm1812
A is the answer to your question
5 0
3 years ago
A bag is filled with green and blue marbles. There are 105 marbles in the bag. If there are 25 more green marbles than blue marb
Talja [164]

Answer:

Step-by-step explanation:

we have 105 marbles

number of blue marbles= x

green marbles= x+25

x+x+25=105

2x=105-25

2x=80

x=40 blue marbles

3 0
3 years ago
What is the value of y?
xz_007 [3.2K]
The value of Y is h:8.
6 0
3 years ago
Read 2 more answers
A car moves a distance of 100m in 12 seconds. what is the average speed in km/h​
Maksim231197 [3]

Answer:

30km/h.

Step-by-step explanation:

100m/12s = 0.1km/12s

There are 3600 seconds in an hour.

0.1km/12s = 30km/h.

5 0
3 years ago
Other questions:
  • A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
    12·2 answers
  • 48/31 in simplest form
    7·2 answers
  • Using the distance formula |p - q| find the distance between -5 and 3.
    9·1 answer
  • The sum of the ages of the father and his son is 42 years. The product of their ages is 185. Find the age of the father and the
    13·1 answer
  • The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t
    7·2 answers
  • Solve for x I need this done by tonight please help
    5·2 answers
  • find the value of x of given figure and solve this question step by step plzz help question number D​
    5·1 answer
  • An item on sale costs %50 of the original price. The original price was 45$.
    12·2 answers
  • Pls help with this pls
    13·1 answer
  • What’s the area all sides meet at right angles
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!