SOLUTION: If I know that sin=-3/sqrt(10) and cos=-1/sqrt(10) how do I find tan(2theta+3pi/2)? Thank you

Question 967587: If I know that sin=-3/sqrt(10) and cos=-1/sqrt(10) how do I find tan(2theta+3pi/2)?
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If I know that sin=-3/sqrt(10) and cos=-1/sqrt(10) how do I find tan(2theta+3pi/2)?
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Note:: tan(t) = sin(t)/cos(t) = [-3/sqrt(10)]/[-1/sqrt(10)] = 3
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Your Problem::
tan(2t+3pi/2) = -tan(2t) = -(2tan(t))/(1-tan^2(t))
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= 6/-8 = -3/4
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Cheers,
Stan H.
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