Question

if tan 2theta = cot ( theta + 6 ) then find the value of theta​

Answer 1

We know that tan x = cot ( 90 - x )

$\implies \bold{tan2\theta=cot(\theta+6)}\\\\\implies \bold{cot(90-2\theta)=cot(\theta +6)}\\\\\implies \bold{90-2\theta=\theta + 6}\\\\\implies \bold{3\theta=84}\\\\\implies \bold{\bf{\red{\theta=28^0}}}$