Question

Answer the following. (A) find an angle between 0 and 360 degrees that is coterminal with -600 degrees. (B) find an angle between 0 and 2 up that is conterminal with 11pi/2.

Answer 1

Part A)  check the picture below.

part B)

hmmm, between 0 and 2 radians I take it, it means.

$\bf \textit{if you go around the circle once, you've covered }2\pi \\\\\\ \textit{if you around 5 times, you've covered }5\cdot 2\pi \implies 10\pi \\\\ -------------------------------\\\\ \cfrac{11\pi }{2}\implies 5\frac{\pi }{2}\implies 5\pi \frac{\pi }{2}\implies 5\pi +\frac{\pi }{2}$

so... 11π/2 is really just going around the circle 5 times, and then adding π/2, now, these are positive angles btw, so we're going counter-clockwise.

so.. where would that land you at? well at π/2, since going around the circle once will land you back at 0, and doing it 5 times lands you back at 0 5 times, and then you add the extra π/2.

now, is π/2 a coterminal angle between 0 and 2 radians? well,   $\bf \cfrac{\pi }{2}\implies \pi \div 2\approx 1.57$.