Question

Find the angle of least nonnegative measure that is coterminal with $\frac{7\pi}{4}$. Then find the measure of the negative angle that is coterminal with $-\frac{7\pi}{4}$ such that the angle lies between $-4\pi$ and $-2\pi$.

          Find the angle of least nonnegative measure that is coterminal with $\frac{7\pi}{4}$. Then find the measure of the negative angle that is coterminal with $-\frac{7\pi}{4}$ such that the angle lies between $-4\pi$ and $-2\pi$.
        
Find the angle of least nonnegative measure that is coterminal with (7π)/(4). Then find the measure of the negative angle that is coterminal with -(7π)/(4) such that the angle lies between -4π and -2π.

Added by Joaquin S.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Find the angle of least nonnegative measure that is coterminal with -(7pi )/(4). Then find the measure of the negative angle that is coterminal with -(7pi )/(4) such that the angle lies between -4pi and -2pi . 7TC Then find the measure of the Find the angle of least nonnegative measure that is coterminal with 4 K 7TT negative angle that is coterminal with such that the angle lies between -4Tt and -2Tt
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Transcript

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00:01 The issue that we have in this problem is that 37 pi over 4 does several rotations about the unit circle because every one rotation is 2 pi.
00:16 And if you want to get the same denominator, you would change it to be 8 pi over 4.
00:20 So the point that i'm trying to make is you could do two revolutions, which would be another 2 pi.
00:27 So we're at 4 pi so far, which would be 16 pi over 4.
00:32 Speed this up.
00:33 And i hope you notice that the numerator is it going to be multiples of eight.
00:39 So if we did four revolutions then, we would get up to 32 pi over four...
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