SOLUTION: please help me: find the remaining trig functions if sec(beta)=6/5 and tan(beta)<0

Question 619099: please help me:
find the remaining trig functions if sec(beta)=6/5 and tan(beta)<0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the remaining trig functions if sec(beta)=6/5 and tan(beta)<0
**
sec>0 in quadrants I and IV
tan<0 in quadrants II and IV
So reference angle is in quadrant IV
sec=6/5=hypotenuse/adjacent side
By the pythagorean theorem: opposite side=√(6^2-5^2)=√(36-25)=√11
Trig functions as follows:
sec(beta)=6/5
cos(beta)=5/6
csc(beta)=-6/√11
sin(beta)=-√11/6
tan(beta)=-√11/5
cot(beta)=-5/√11

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