Answer:
B
Step-by-step explanation:
Let's examine and comment on each alternative.
A. An angle with a measure of [tex]\frac{-5\pi }{3} rad[/tex] which is equivalent to -300º, will be traced in a clockwise way. As shown in the picture below. So the endpoint stops in the Quadrant I. True
B. Since [tex]\frac{-11\pi }{6}[/tex] rad is also equivalent to -330º, it has a negative orientation which tells us that it will be traced in a clockwise way as well. But its endpoint will lie on Quadrant I. Not on Quadrant IV as the B affirms.
So the B item is False.
C. Keep in mind, that Radian is a unit of measurement taken when you have an arc subtended from a unit circle with arc length 1
As shown in the picture below. True
D. If you consider the 1 Circle and its circunference, which is 2[tex]\pi[/tex], (360º) we can just make this simple division:
[tex]\frac{360}{2\pi } =\frac{180}{\pi }[/tex] = 180º/3.1415.. ≅ 57.3º True
