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Grade 11Trigonometry

How to find the general solution of tanxtan4x=1? Please explain with steps

Profile image of Purva
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
Dear Purva
 
tan 4x = 1 / tanx
 
tan 4x = cot x
 
tan 4x = tan (pi/2 – x)
 
4x = n * pi + (pi / 2 – x)
 
5x = n * pi + pi/2
 
x = 1/5 [n * pi + pi/2]