For which values of 0 in the interval 4n<0<7pi is the function y = sin 0 equal to 0?
A) 0 = 5pi,7pi
B) 0 = 5pi, 6pi
C) 0 = 4pi, 5pi,6pi,7pi
D) 0 = 4pi, 6pi
Since the function y = sin(θ) is equal to 0 at θ = nπ where n is an integer, we need to find the values of θ for which 4nπ < θ < 7π.
These values fall into the intervals of:
- 5π < θ < 6π
- 6π < θ < 7π
Therefore, the values of θ for which y = sin(θ) is equal to 0 when 4nπ < θ < 7π are θ = 5π and θ = 6π.
The correct answer is B) θ = 5π, 6π.