How do you solve #Tan 2x - tan x=0#?

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Answer 1 · 2015-04-16T17:08:14

In this way:

#tan2x=tanx# and two tangents are equal if their argument are equal with the moltiplicity.

So:

#2x=x+kpirArrx=kpi#

acceptable because we have to remember that for the existence of the function tangent the argument has to be not #pi/2+kpi#,

so:

#2x!=pi/2+kpirArrx!=pi/4+kpi/2#

and

#x!=pi/2+kpi#.