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
Yuki888 [10]
3 years ago
9

What is the period of the function f(x)=sin(x/3) ?

Mathematics
1 answer:
vitfil [10]3 years ago
6 0
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

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

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

You might be interested in
Rationalise the denominator.<br> Simplify your answer fully.<br> 1/r6+r5
Arlecino [84]
Here: 1/r6+r5
= r11+1/r6
6 0
3 years ago
4.50s+1.50p(3)=36<br>.......​
hichkok12 [17]

Answer:

4.5

Step-by-step explanation:

5 0
3 years ago
3/4 x 5/6 equals what
SVETLANKA909090 [29]

Answer:

5/8

You just have to multiply the bottom and the top then simplify

7 0
3 years ago
Which expression shows 48 + 36 written as a product of two factors
oksano4ka [1.4K]

Answer:

12(4+3)

Step-by-step explanation:

6 0
2 years ago
Anyone wanna 1v1 on RL?
german

Answer:

in what I play on Xbox, what you tryna play i got 2k21, cod and other games but that the only games I play but I got more if u play Xbox name Tripple k3

7 0
3 years ago
Other questions:
  • Lines a and b are parallel. Line c is a transversal. Find the measures of all angles formed by a,b, and c, if:
    12·1 answer
  • A friend of yours is not taking statistics, wonders why it is that anyone would choose to take a sample. "Obviously," she says,
    12·1 answer
  • Please please help me
    13·1 answer
  • Simple interest of 630$ for 4 years at 6.5%
    5·2 answers
  • The area of a rectangular table top is 24 ft.² the length of the table is 2 feet longer than its width which equation could be u
    13·1 answer
  • Please help me ASAP
    15·1 answer
  • HELPPPPPPPP<br> Which of the following is a geometric sequence?
    11·1 answer
  • What is the coefficient in the following expression? 5a2-7​
    12·1 answer
  • How much would a Jacket cost if they were originally marked for $275 but on sale for 10% off. (No tax) Write your answer and exp
    10·2 answers
  • A: y=3/5x<br>B: y=5/3x<br>C: xy= 3/5<br>D: xy: 5/3<br>help pleaseee​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!