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Finding the exact value for period in radians

  • #1

Homework Statement


What is the exact period of the function f(x)= 6 sin (4x+pi)
= a sin (b)

Homework Equations


Period= 2pi/(abs b)


The Attempt at a Solution


I found the period as 2pi/(4+pi), this is said to be no the correct answer, how do you simplify this down so it is the exact value???
 

Answers and Replies

  • #2
33,505
5,191

Homework Statement


What is the exact period of the function f(x)= 6 sin (4x+pi)
= a sin (b)

Homework Equations


Period= 2pi/(abs b)


The Attempt at a Solution


I found the period as 2pi/(4+pi), this is said to be no the correct answer, how do you simplify this down so it is the exact value???
6 sin(4x + pi) = 6 sin(4 (x +pi/4))

What's the period of y = 6 sin(4x)? It's the same as your function. The difference between this function and yours is that one is a horizontal translation of the other.
 
  • #3
Thank you
 

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