Geometry
# Trigonometric Equations

In the domain $[0, 2 \pi ]$, how many solutions are there to

$6 \cos^2 \theta - 10 \cos \theta + 3 \sin^2 \theta = 0 ?$

Which of the following are the solutions to the equation

$6 \tan^2 \theta - 17 \tan \theta + 2 \sec^2 \theta = 0 ?$