SOLUTION: Directions: Solve the equation for exact solutions over the inverval [0,2pi) tan^2 x - 2tanx + 1 = 0 I keep retrying it and ending up with a jumbled mess. How do I simplify t

Algebra ->  Trigonometry-basics -> SOLUTION: Directions: Solve the equation for exact solutions over the inverval [0,2pi) tan^2 x - 2tanx + 1 = 0 I keep retrying it and ending up with a jumbled mess. How do I simplify t      Log On


   

Question 952624: Directions: Solve the equation for exact solutions over the inverval [0,2pi)
tan^2 x - 2tanx + 1 = 0
I keep retrying it and ending up with a jumbled mess. How do I simplify the equation?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = tan(x).

t%5E2-2t%2B1=0
%28t-1%29%28t-1%29=0
t-1=0
t=1

Remember the substitution used. Refer to the unit circle or meaning of tangent.