Solve the equation. #2tan^-1 6x=pi/2# According to my answer sheet #x = 1/6#, can someone help me recognize the steps to get me there? Any help is appreciated.

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#2tan^-1 6x=pi/2#
#x=1/6#

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Answer 1 · 2017-07-30T20:09:39

#x=1/6#

#2tan^-1(6x)=pi/2#

#rArrtan^-1(6x)=pi/4larr" divide both sides by 2"#

#"note that "tan(pi/4)=1#

#rArrtan^-1(1)=pi/4#

#rArr" for "tan^-1(6x)=pi/4#

#"then " 6x=1rArrx=1/6#