SOLUTION: Find all trigonometric values if sin=1/3 and data is not in Q1

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Question 917567: Find all trigonometric values if sin=1/3 and data is not in Q1
Answer by lwsshak3(11628) About Me  (Show Source):
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Find all trigonometric values if sin=1/3 and data is not in Q1
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let x=reference angle
Sinx>0 only in Q1 or Q2.
Since data is not in Q1, reference angle must be in Q2 where cos<0, tan<0
..
sinx=1/3(given)
cosx=-√(1-sin^x)=-√(1-1/9)=-√(8/9)=-√8/3
tanx=sinx/cosx=1/-√8=-√8/8
cotx=-√8
cscx=3
secx=3/-√8=-3√8/8