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

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


   

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) About Me  (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)?
----------------
Note:: tan(t) = sin(t)/cos(t) = [-3/sqrt(10)]/[-1/sqrt(10)] = 3
------
Your Problem::
tan(2t+3pi/2) = -tan(2t) = -(2tan(t))/(1-tan^2(t))
====
= 6/-8 = -3/4
---------------------
Cheers,
Stan H.
-----------