Finding the exact value for period in radians

[steve snash]

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?

 

[Mark44]

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.

 

[steve snash]

Thank you