You forgot the most basic method for solving equations:Find all solutions in the interval
. . Factor, set each factor equal to zero, and solve.
find all solutions of the equation in the interval [0, 2pi)
tan^2 x + tan x = 0
I am not quite sure how to find the solutions for the tan. I think I am supposed to use the sum and difference formula to solve the problem.
tan(u + v) = (tan u + tan v) / (1 - tan u tan v)
is this correct?