Solve the following equation and find the value of θ.
$3cotθ + tanθ - 2\sqrt{3}=0, 0< θ < 90°$
Answer & explanation
Correct answer: option 3
3 cotθ + tanθ - 2√3 = 0
3 × \(\frac{1}{tanθ}\) + tanθ - 2√3 = 0
tan²θ - 2√3 tanθ + 3 = 0
On solving,
tanθ = √3
{ we know, tan 60º = √3 }
So, θ = 60º