How do you simplify 2tanx-(1+tanx)^2?

Question

2tanx- #2tanx-(1+tanx)^2#

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Answer 1 · 2018-05-19T02:52:19

#color(crimson)(-1/ cos^2x#

#2tan x - (1+tan x)^2#

#=> 2 tan x - 1 - 2tan x - tan^2x#

#=> - (1 + tan^2 x)#

#=> - sec^2 x = -1/cos^2x#