help me i just dont know

Question

An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

 

3

 tan 3θ + 1 = 0

(a) Find all solutions of the equation.
θ =

 

(b) Find the solutions in the interval [0, 2π).
θ =

 

Answer 1

Step 1:

The trigonometric equation is .

Find the solution of the equation.

General solution for :

The solution of the equation 

Step 2 :

Find the solution in the interval .

.

Substitute different values of .

The solution of the equation in the interval is 

Solution :

(a) The solution of the equation

(b) The solution of the equation in the interval is