Grade 12th passTrigonometry
solve the equation tan theta + tan 2 theta + tan 3 theta = 0
solve the equation tan theta + tan 2 theta + tan 3 theta = 0
1 Answer
Sudhir Kumar
Using tan3x – tan2x – tanx = tan3x . tan2x . tanx => tan2x + tan x = tan3x – tanx tan2x tan3x
tanx + tan2x + tan3x = 0 => 2 tan3x – tanx tan2x tan3x = 0 => tan3x = 0
or tanx tan2x = 2
Opening tan2x = 2tanx /1 – tan2x
tanx. tan2x = 2 => tan2x = 2 => tanx = ± 21/2
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