SOLUTION: cos theta=-1/5 and tan theta>0 what is sin theta?

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Question 835428: cos theta=-1/5 and tan theta>0 what is sin theta?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1
sin%5E2%28theta%29%2B%28-1%2F5%29%5E2=1
sin%5E2%28theta%29%2B1%2F25=1
sin%5E2%28theta%29=24%2F25
sin%28theta%29=sqrt%2824%29%2F5=%282%2F5%29sqrt%286%29 and sin%28theta%29=-%282%2F5%29sqrt%286%29
Since tan%28theta%29=sin%28theta%29%2Fcos%28theta%29%3E0 choose,
sin%28theta%29=-%282%2F5%29sqrt%286%29