Posted by Preston on Sunday, August 28, 2011 at 6:46am.
given that csc(theta) =3 and cos(theta)>0, find the remaining 5 trigonometric functions of theta.
i have my triangle graphed in the fourth quadrant but I'm getting confused because of the negatives...

math  Reiny, Sunday, August 28, 2011 at 8:35am
cscØ = 3 , so sinØ = 1/3
the sine is negative in III and IV
cosine is positive in I and IV
so you are correct to say that Ø is in IV
make yourself familiar with the CAST rule, here is an explanation for it
http://www.mathsrevision.net/alevel/pages.php?page=36
So your triangle in IV should be a 1√8 3 triangle
sinØ = 1/3 , cscØ = 3 (that was the given)
cos = √8/3 , secØ = 3/√8
tanØ = 1/√8 , cotØ = √8
(Your textbook answer might have written the √8 as 2√2 )