To simplify this expression, we will first write the values of sine and cosine of the given angles:
sin(50°) = 0.76cos(320°) = -0.76sin(25°) = 0.42cos(25°) = 0.906
Now, we can substitute these values into the expression and simplify:
sin(50°) - cos(320°) / 2 sin(25°) cos(25°= 0.766 - (-0.766) / 2 0.422 0.90= 1.532 / 2 0.38= 0.766 0.76= 0.584
Therefore, the simplified value of the expression is 0.584.
To simplify this expression, we will first write the values of sine and cosine of the given angles:
sin(50°) = 0.76
cos(320°) = -0.76
sin(25°) = 0.42
cos(25°) = 0.906
Now, we can substitute these values into the expression and simplify:
sin(50°) - cos(320°) / 2 sin(25°) cos(25°
= 0.766 - (-0.766) / 2 0.422 0.90
= 1.532 / 2 0.38
= 0.766 0.76
= 0.584
Therefore, the simplified value of the expression is 0.584.