Today the flashing light of Marblehead Lighthouse can be modeled by g ( x ) = sin(π/3) x . How many whole seconds are there between each flash? Enter only the number.
( Hint : Recall that the period of a sinusoidal function is 2π/ b .)
for yours, comparing y = sin(bx) to y = sin(π/3) x
what is the value of b ?
Now put that in your 2π/b
and go for it.
huhhh?
What is 2π ÷(π/3) ????
What would be b?
6 ok thanks
To determine the number of whole seconds between each flash of the Marblehead Lighthouse, we need to find the period of the given sinusoidal function.
In the given equation g(x) = sin(π/3) x, the coefficient of x inside the sine function is π/3. The period of a sinusoidal function is given by the formula 2π/b, where b is the coefficient of x.
In this case, b = π/3. Therefore, the period of the function g(x) is 2π/(π/3), which simplifies to 6 seconds.
Hence, there are 6 whole seconds between each flash of the Marblehead Lighthouse.