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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).

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Answer:

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Step-by-step explanation:

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Tracy McKinney is a disc jockey at radio station WMMM. Her annual salary is $52,750. What is her monthly salary?
attashe74 [19]
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3 years ago
There are 5 yellow marbles and 12 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choo
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3 0
3 years ago
Read 2 more answers
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

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8 0
3 years ago
Solve and check: 5 - 6 = -3<br> k
xxTIMURxx [149]

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
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3 years ago
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