Question

The angle between 0 and $2\pi$ in radians that is coterminal with the angle $-\frac{95\pi}{12}$ radians is

          The angle between 0 and $2\pi$ in radians that is coterminal with the angle $-\frac{95\pi}{12}$ radians is
        
The angle between 0 and 2π in radians that is coterminal with the angle -(95π)/(12) radians is

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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The angle between 0 and 2pi in radians that is coterminal with the angle -(95pi )/(12) radians is The angle between 0 and 2T in radians that is coterminal 95TT with the angle radians is 12 Submit Question
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Transcript

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00:01 We have to find an angle between 0 and 360 that is core terminal with negative 1645.
00:06 So if anything is core terminal, then what we do is we keep adding 360 or a multiple of 360 to it.
00:14 So the angle will not change and the angle will keep on becoming positive as well.
00:19 So the core terminal angle will be of the form of this form.
00:24 So we have to find the minimum value of k which would make this positive.
00:29 So i think k is 5.
00:31 If k is 5, then i'm not surely sure.
00:35 I'm just making a guess because 5 times 3 is 15.
00:39 So that's close to 1 ,500.
00:42 And that's why i'm making that guess...
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