How do I get tgy ?

#tgx = ?#

If:
#tg(x+y) = -1#
#tgx = 3#

#tgx = ?#

If:
#tg(x+y) = -1#
#tgx = 3#

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Feb 9, 2018

Answer:

#tany=2#

Explanation:

Using Identity:

#color(red)(bb(tan(A+B)=(tanA+tanB)/(1-tanAtanB))#

Let #A=x# and #B=y#

#tan(x+y)=(tanx+tany)/(1-tanxtany)=-1#

#tanx=3#

#(3+tany)/(1-3tany)=-1#

Multiply by #(1-3tany)#

#3+tany=-1+3tany#

#2tany=4#

#tany=4/2=2#

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