Final answer:
The expression sin (50°) cos (170°) - cos (50°) sin (170°) simplifies to a non-zero value, which shows that the statement is False.
Step-by-step explanation:
The question asks whether the expression sin(50°)cos(170°) - cos(50°)sin(170°) is equal to 0. Using the sine and cosine values, it's notable that cos (170°) is negative because 170° is in the second quadrant where cosine is negative. However, sin(170°) is positive because sine is positive in the second quadrant. Subsequently, both terms in the expression will have opposite signs, thus the expression simplifies to sin (50°) (-cos (50°)) - cos (50°) sin (50°), which is equivalent to -sin (50°) cos (50°) - cos (50°) sin (50°), and further simplifies to -2sin (50°) cos (50°).
Since neither sin (50°) nor cos (50°) is equal to zero, the expression will not be equal to zero. Therefore, the statement that the expression is equal to 0 is False.