Provide an explanation , on how to find the "solution set" for trigonometric functions.

Solve the following equation for solutions over the interval [0,2x) by first solving for the trigonometric function. 4sin0+2=0 G Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is { } (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (O B. The solution set is the empty set. To find the angle # where sin @ = -'1;: in the fourth quadrant, we typically use the fact that angles in the unit circle are measured counterclockwise from the positive x-axis. Here's the step-by-step reasoning: 1. Understanding 27: 27 represents a full circle or 360. This is the total angle in radians or degrees that we have in a full cycle. 2. Subtracting f: T * 3 radians is equivalent to 30. It's a small angle, but when subtracted from 27, it gives us an angle in the fourth quadrant where the sine function is negative. 3. Calculation: When we compute 21 %- we're essentially subtracting % radians from 27: oy T _ 127 8" 6 & B8 7r_].1