Question 373951
<pre>
 4sinČA + 1 = sinČA + 2
 -sinČA      -sinČA
-----------------------
 3sinČA + 1 =         2
        - 1          -1
-----------------------
 3sinČA     =         1

      sinČA = {{{1/3}}}
     sin(A) = {{{""+-sqrt(1/3)}}}

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</pre>