Find all angles θ between 0° and 180° satisfying the given equation sin theta = 1/4

Answer 1

Unlike many other such problems, I believe there is no exact answer, so in DEGREES mode, do arcsin or sin^-1

(1/4) which equals 14.4775 degrees rounded to 4 decimal places. Drawing a sketch with opposite side 1 and hypotenuse 4, you should be able to visualize that the supplement 165.5225 (180 degrees minus the quadrant 1 angle) will have the same sine value. So there are the two answers to the problem.