SOLUTION: if arctan x+2 arctan1 =3π/4, tanx is =? a. 1 b. -1 c. 0 d. π/4

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Question 1125836: if arctan x+2 arctan1 =3π/4, tanx is =?
a. 1
b. -1
c. 0
d. π/4

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  arctan(1) = pi%2F4.


2.  Therefore, the given equation takes the form


    arctan(x) + {{2*(pi/4)}}} = 3pi%2F4,    or


    arctan(x) = 3pi%2F4 - 2%2A%28pi%2F4%29 = pi%2F4.


3.  Therefore,  x = pi%2F4.

Answer.   Option  d.