Find the measures of two angles, one positive and one negative, that are coterminal with pi/5

Question

e.mccormick · Answer

Do you understand what coterminal is?

e.mccormick · Answer

A coterminal angle is one that is a revolution appart.  For example, 0 and 2pi.

e.mccormick · Answer

So if you add 2pi, that is the positive coterminal.  If you subtract, that will be negative.

e.mccormick · Answer

Remember how fractions work?  You need a common denominator to add.

e.mccormick · Answer

$$2\pi\implies \frac{2\pi}{1} \cdot \frac{5}{5}\implies  \frac{10\pi}{5}$$

e.mccormick · Answer

You just subtract to get the negative one.  That is just what 2pi becomes to add or subtract it.

e.mccormick · Answer

Well, you have $\frac{1\pi}{5}$ to start.  I added the one for emphasis.  What doi you get if you add or subtract the 10pi/5 to that?

anonymous · Answer

11 and -9pi . . . wow that's amazing! thank you so much

e.mccormick · Answer

np.  Have fun!  And I hope that shows you how those work.  It is just a fraction.  =)