Question

At how many points is sin = on the interval [ - 31, 3л]?

O 1 point
O12 points
O 6 points
O 3 points

Answer 1

The function sin(x) equals zero at seven points within the interval [ -3π, 3π], specifically at the integral multiples of π: -3π, -2π, -π, 0, π, 2π, and 3π.

Step-by-step explanation:

The question is asking to find out the number of points where sin(x) is equal to zero on the interval [ -3π, 3π]. The sin function equals zero at all integral multiples of π within this range.

Therefore, we can find the points where sin(x) = 0 by setting x to every integer multiple of π within the interval [ -3π, 3π].

These points are -3π, -2π, -π, 0, π, 2π, and 3π.

This gives us a total of 7 points where sin(x) is zero.