Trig.
posted by Rach .
Find to the nearest degree, all values of ө less than 360˚ that satisfy the equation 2tan^2θ2tanθ=3

Go on: wolframalpha dot com
When page be open in rectangle type:
solve 2tan^2è2tanè=3
and click option =
After few seconds when you see result click option:
Show steps
Solutions are :
è = 58.71608 °
è =  59 ° to the nearest degree
and
è = 61.2515 °
è = 61 ° to the nearest degree 
è
is greek letter theta