SOLUTION: Find tan((3pi/4)+theta) when tan theta = -1/2 .

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Question 1138387: Find tan((3pi/4)+theta) when tan theta = -1/2 .
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Find

when tan .
=
=
=
=
=
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Apply the formula for tangent of the sum of arguments


    tan(a + b) = ,


which is valid for all values of "a" and "b", where the tangent function is defined.


In your case,  a = ,  b = ,  and   = -1,  so


     =  =  =  = 


        now substitute  =  to get


     =  =  = -3.      ANSWER

Solved.

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