Given a function y = 2sinx + 1. Find all values of x for which y = -1

The function is given by the formula y = 2sinx + 1, y = – 1.

1. Substitute the value of y into the formula:

– 1 = 2sinx + 1

2. Flip the equation to make calculations easier:

2sinx + 1 = -1

3. Move 1 to the right side.

2sinx = – 1 – 1

2sinx = – 2

4. Divide both sides of the equation by 2.

sinx = – 1

5. This is a special case, x = – П / 2 + Пn (n is an integer)