4sinČA + 1 = sinČA + 2
-sinČA -sinČA
-----------------------
3sinČA + 1 = 2
- 1 -1
-----------------------
3sinČA = 1
sinČA =
sin(A) =
Use the inverse sine function on the calculator to
find the reference angle for A which I call "ref(A)"
ref(A) = 35.26438968°
Since the sign is either + or -, we must include all angles
with reference angle 35.3° between 0° and 360°
The reference angle is the first quadrant answer which to
the nearest tenth of a degree is
35.3°
the second quadrant angle between 0° and 360° with reference
angle 35.3° is gotten by subtracting 35.3° from 180°.
180°-35.3° = 144.7°
the third quadrant angle between 0° and 360° with reference
angle 35.3° is gotten by adding 35.3° to 180°.
180°+35.3° = 215.3°
the fourth quadrant angle between 0° and 360° with reference
angle 35.3° is gotten by subtracting 35.3° from 360°.
360°-35.3° = 324.7°
Those are the four solutions.
Edwin