They have different numbers on a number line
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Answer: Choice C</h3>
cos(a - b) = cos(a)cos(b) + sin(a)sin(b)
In this case, we'd have a = 180 and b = q, so,
cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
cos(180 - q) = cos(180)cos(q) + sin(180)sin(q)
cos(180 - q) = -1*cos(q) + 0*sin(q)
cos(180 - q) = -cos(q) + 0
cos(180 - q) = -cos(q)
The correct answer is C.
-5 is not greater than -3. Negatives are tricky; remember that the closer a negative is to zero, the greater that quantity actually is.