For the following trigonometric equation written in quadratic form, use algebraic techniques to solve in the interval [0, 2π) and give the answer in radians.

14 cos² A - 7cos A - 7 = 0

Solve the following trigonometric equation on the interval [0, 2π) with the help of a calculator. Round your final answer up to four decimal places.

tan x = -5

For the following trigonometric equation, solve in the interval [0, 2π] and give the answer in exact radian measure.

9 csc x (4 sin x - 4) = 0

For the following trigonometric equation, solve by first expressing the equation in terms of sine or cosine in the interval [0, 2π) and give the answer in exact radian measure.

csc² x + 3 csc x + 2 = 0

Apply the most suitable technique to determine the solution of the following equation within the interval [0, 2π), employing exact values whenever feasible or providing approximations accurate to four significant figures.

3 sin 2x + (3√3) cos x = 0