SOLUTION: Find the exact value of sin theta, given tan theta < 0 and cos theta =2/9 Could you please show me step by step? I am just not getting this. :(

Question 959889: Find the exact value of sin theta, given tan theta < 0 and cos theta =2/9
Could you please show me step by step? I am just not getting this. :(
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the exact value of sin theta, given tan theta < 0 and cos theta =2/9
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Use the Pythagorean Identity

|sin(t)| =
---------------
cos + and tan negative --> Q4
sine is neg in Q4
--> sin(t) = -sqrt(77)/9

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