SOLUTION: Use trigonometric identities to find the exact value of tan theta if sin theta=1/3 and tan theta<0

Question 903166: Use trigonometric identities to find the exact value of tan theta if sin theta=1/3 and tan theta<0
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Since  then  is either in QII or QIV.
Since  is given as a positive number , then
 is in QII



So

(1)   

But we will need , which is negative in QII.







  <-- we take the negative square root since cosine is negative in QII




Now go back to equation (1)



Edwin

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