vera_ewing
  • vera_ewing
Is the sine value negative or positive?
Mathematics
schrodinger
  • schrodinger
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vera_ewing
  • vera_ewing
\[ \frac{ 5\pi }{ 3 }\]
Nnesha
  • Nnesha
|dw:1439321452729:dw| \(\huge\color{green}{\rm CAST}\) rule
Nnesha
  • Nnesha
|dw:1439321495330:dw| sin is positive only in first and 2nd qudrant

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vera_ewing
  • vera_ewing
Is the sine value \[\frac{ 1 }{ 2 }\]
vera_ewing
  • vera_ewing
Or \[\frac{ \sqrt{3} }{ 2 }\]
Nnesha
  • Nnesha
solution (x,y) where x-coordinate = cos and y-coordinate represent sin value
Michele_Laino
  • Michele_Laino
hint: \[\Large \frac{{5\pi }}{3} > \pi \]
Nnesha
  • Nnesha
and i would convert radian to degree i like degrees ...
vera_ewing
  • vera_ewing
So the sine value is \[\frac{ 1 }{ 2 }\]
Nnesha
  • Nnesha
(x ,y) x-coordinate = cos y-coordinate = sin
Michele_Laino
  • Michele_Laino
more precisely: \[\Large 2\pi > \frac{{5\pi }}{3} > \frac{{3\pi }}{2}\]
vera_ewing
  • vera_ewing
Or is the sine value \[\frac{ \sqrt{3} }{ 2 }\]
Nnesha
  • Nnesha
|dw:1439321748150:dw|
Nnesha
  • Nnesha
you tell me which one is it ?
Nnesha
  • Nnesha
look at my first drawing sin is negative in 4th and 3rd qudrant
Nnesha
  • Nnesha
quadrant*
vera_ewing
  • vera_ewing
Wait, so the sine value is negative?
vera_ewing
  • vera_ewing
For 5pi/3 ?
Nnesha
  • Nnesha
5pi/3 is in which quadrant ?
vera_ewing
  • vera_ewing
4th quadrant?
Nnesha
  • Nnesha
right so in 4th quadrant|dw:1439321901039:dw| only cos is POSITIVE
Nnesha
  • Nnesha
like in 3rd quadrant only tan is positive cos and sin are negative
vera_ewing
  • vera_ewing
So the sine value of 5pi/3 is \[-\frac{ \sqrt{3} }{ 2 }\]
vera_ewing
  • vera_ewing
???
Nnesha
  • Nnesha
looks right
vera_ewing
  • vera_ewing
Thank you.
Nnesha
  • Nnesha
my pleasure.
welshfella
  • welshfella
@Nnesha - great diagram!!!
welshfella
  • welshfella
if you want a mnemonic to remember ACTS - its 'All Cats Taste Sour ' I know that's horrible but you won't forget it!
vera_ewing
  • vera_ewing
Thanks @welshfella lol :)
Nnesha
  • Nnesha
nice one hahaha!

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