Guest: AB= 6CM, BC=9CM, ANGLE BAC=117DEG, ANGLE ACB = X DEG. WHATS X. THE ANSWER IS 36.4, BUT 6 SIN 117 OVER 9 DOES NOT GIVE 36.4
No, you are right,it doesn't.
It gives 0.594 (to 3 dp)
so you have
sin(x) = 0.594
To solve for the angle you need to find inverse sine.
x = sin
-10.594
and now you need to press 'shift' or '2nd' then sin.
And so long as your calc is set to degrees then you will get
36.4 degrees