MTALHAHASSAN2
  • MTALHAHASSAN2
Need help!! 4. Solve for x: cos 3x=1/2 0
Mathematics
katieb
  • katieb
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Mertsj
  • Mertsj
If you want all x solutions between 0 and pi, find all 3x solutions between 0 and 3pi
Mertsj
  • Mertsj
\[\cos (3x)=\frac{1}{2}\] \[3x=\frac{\pi}{3}, \frac{7\pi}{3},\frac{13\pi}{3}\]
Mertsj
  • Mertsj
\[x=\frac{\pi}{9},\frac{7\pi}{9}, \frac{13\pi}{9}\]

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Mertsj
  • Mertsj
Whoops...one too many. Discard 13pi/9
MTALHAHASSAN2
  • MTALHAHASSAN2
wait how you get 7pie/3
MTALHAHASSAN2
  • MTALHAHASSAN2
I get pie/3
MTALHAHASSAN2
  • MTALHAHASSAN2
know how can I find the other solutions
MTALHAHASSAN2
  • MTALHAHASSAN2
Plz help me
Mertsj
  • Mertsj
Add 2pi to pi/3
Mertsj
  • Mertsj
Each time around the circle will give another solution.
MTALHAHASSAN2
  • MTALHAHASSAN2
don't you get 5pie/3
Mertsj
  • Mertsj
What is 1/3 + 6/3 ?
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1437704060359:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
because in the first and fourth quardrant the cos be postive
MTALHAHASSAN2
  • MTALHAHASSAN2
I now that is 7pie/3
MTALHAHASSAN2
  • MTALHAHASSAN2
But I am talking about 5pie/3
Mertsj
  • Mertsj
Yep. \[3x=\frac{\pi}{3}, \frac{5\pi}{3}, \frac{7\pi}{3}\]
Mertsj
  • Mertsj
\[x=\frac{\pi}{9}, \frac{5\pi}{9}, \frac{7\pi}{9}\]
MTALHAHASSAN2
  • MTALHAHASSAN2
know that make a sence but know for the 7pie/3 we are adding 2pie+pie/3 right!!
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1437704505385:dw|
Mertsj
  • Mertsj
yep
MTALHAHASSAN2
  • MTALHAHASSAN2
ok Thanks a lot

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