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tan^2(x) = tan x what are the possible values of x in 0=<x<360

 Dec 25, 2016
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tan^2(x) = tan x what are the possible values of x in 0=<x<360

 

\(tan^2x-tanx=0\\ tanx(tanx-1)=0\\ tanx=0\qquad or \qquad tanx-1=0\\ x=0,\; 180,\;360,\;\;or\;\; tanx=1\\ x=0, \;180,\;360,\;\;or\;\; x=45, \;225\\ x=0^\circ \;\;45^\circ,\;\;\;180^\circ, \;\;225^\circ \qquad 0 \le x<360 \)

 Dec 25, 2016

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