If TanX+1/tanX=2 then show tan2X+1/tan2X=2?

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Answer 1 · 2018-05-11T23:52:48

Undefined; #tan x=1# so #x=45^circ or 225^circ# so #tan(2x)=tan 90^circ # is undefined.

Let #t=tan x#

#t + 1/t = 2#

#t^2 - 2t + 1 = 0#

#(t-1)^2 = 0#

#tan x = 1#

There's the cliche triangle; we knew it was coming.

# x = 45^circ + 180^circ k quad# integer #k#

# tan(2x) = tan(90^circ + 360^circ k) # is UNDEFINED