The following equations involves multiple angles Solve the e

The following equations involves multiple angles. Solve the equation on the interval [0, 2x). tan x/2 = - squreroot3. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The solution set is (Use a comma to separate answers as needed.) There is no solution.

Solution

Given equation is

tan(x/2) = -3

x/2 = arctan(-3)

x/2 = 120, 300 degree

x = 240, 600 degree

So in given region, solution is x = 240 degree = 4*pi/3