For which values of 0 in the interval 4n<0<7pi is the function y = sin 0 equal to 0?
Since the sine function has a period of 2π, we can find the values of θ where sin(θ) = 0 by looking for the x-intercepts of the function y = sin(θ).
The x-intercepts of the sine function occur at integer multiples of π, since sin(π) = 0, sin(2π) = 0, sin(3π) = 0, etc.
Therefore, in the interval 4n < θ < 7π, the function y = sin(θ) is equal to 0 at the following values of θ:
- θ = 0
- θ = π
- θ = 2π
- θ = 3π
- θ = 4π
- θ = 5π
- θ = 6π
So the values of θ where y = sin(θ) is equal to 0 in the interval 4n < θ < 7π are θ = 0, π, 2π, 3π, 4π, 5π, and 6π.