What are the exact solutions in radians of the equation from 0 to 2π inclusive?

To determine the exact solutions of the equation from 0 to 2π inclusive, we need to identify the angles in radians where the given trigonometric function equals zero.

The solutions that satisfy this equation are critical points that occur at 0, π, and 2π, as these angles correspond to the x-axis intersections for sine and cosine functions, depending on the context of the original equation you are solving.

In option B, the inclusion of π/6 and 7π/6 is significant because they are also points on the unit circle that can align with certain functions, particularly sine, when considering periodicity and the reflection across the y-axis. However, they do not contribute to the specific point where the trigonometric identity equals zero within the specified range if we're strictly looking for the x-axis crossings.

Thus, while option B appears justified for a more complex trigonometric function, the standard solutions, including 0, π, and 2π, are certainly core answers because they indicate the primary roots of basic trigonometric equations. The identification of π/6 and 7π/6 would be more applicable if the function in question were set to a specific ratio where those angles would yield a valid output