How do you solve #tan(x)^2=2tan(x)#?

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How do you solve #tan(x)^2=2tan(x)#?

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Answer 1 · 2015-08-13T12:19:50

General solution:
# x = n pi " or " x = npi + 1.11 "(3sf)", " " n in ZZ #

Explanation:

If the question meant
# tan^2 x = 2 tan x #

Re-arrange above equation:
# tan x(tan x-2) = 0 #
[Do not divide the initial equation by #tan x# as you will be removing a set of solutions. This is a common mistake.]

# tan x = 0 " or " tan x = 2 #

General solution:
# x = n pi " or " x = npi + 1.11 "(3sf)", " " n in ZZ #

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How do you solve #tan(x)^2=2tan(x)#?

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