math
posted by Natasha on .
find to the nearest minute, all positive values in the interval 0° ≤ θ < 180° that satisfy the equation 2 tan^2 θ  tan θ = 3

Substitute t=tan(&theta)
and rewrite the equation as:
2t²t3=0
which factorizes to
(2t3)(t+1)=0
Solve for values of t, and find the solutions for θ.
Note: 1 degree = 60 minutes.