Find all solutions of the equation in the interval 0 2 pi En

Find all solutions of the equation in the interval [0, 2 pi). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2 cos x + 2 sin x tan x = 4 Use the Quadratic Formula to solve the equation in the interval [0, 2 pi). Then use a graphing utility to approximate the angle x. (Enter your answers as a comma-separated list. Round each answer to four decimal places.) tan^2 x + 4 tan x + 2 = 0 Use a graphing utility to approximate the solutions (to three decimal places)of the equation in the Interval [0, 2 pi). (Enter your answers as a comma-separated list.) 2 sin x + cos x = 0

Solution

2cos x + 2sinxtanx=4

cosx +sinx tanx=2

cos²x+sin²x=2cosx

1=2cosx

cosx=1/2

x=cos^-1(1/2) = pi/3,5pi/3