SOLUTION: Solve sec^2 θ + 2tan^2 θ = 4 for all positive angles less than 360°.

Algebra ->  Test -> SOLUTION: Solve sec^2 θ + 2tan^2 θ = 4 for all positive angles less than 360°.      Log On


   



Question 1068832: Solve sec^2 θ + 2tan^2 θ = 4 for all positive angles less than 360°.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sec^2 + 2tan^2 = 4
Sub for sec^2
tan^2+1 + 2tan^2 = 4
3tan^2 = 3
tan^2 = 1
tan(t) = 1
theta = 45, 225 degs
-----------
tan(t) = -1
theta = 135, 315 degs