Question

if arc tan x + 2 Arc tan 1 = 3 pi/4, tan x = ?
a) 1
b) -1
c) 0
d) pi/4

Answer 1

Arc tan 1 = pi/4, right ?

Answer 2

its 3 pi/4 in a question it mi
ght be a typo though

Answer 3

i mean, the value of Arc tan 1 = pi/4. because tan(pi/4) = 1, agree ?

so,
arc tan x + 2 Arc tan 1 = 3 pi/4
arc tan x + 2 pi/4 = 3 pi/4
arc tan x = 3 pi/4 - 2pi/4
arc tan x = pi/4

now put tan to both sides, get
tan (arc tan x) = tan(pi/4)
x = 1

are you sure the question is find tan(x), not only x ?

Answer 4

yes, only tan x


Thank you very much

Answer 5

wlcm