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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.

User Dewalla
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1 Answer

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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(\pi )/(2)\implies 5\pi (\pi )/(2)\implies 5\pi +(\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 / 2\approx 1.57.
Answer the following. (A) find an angle between 0 and 360 degrees that is coterminal-example-1
User Lumialxk
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