Question

Find all solutions of the equation below on the interval [0,2pi). Enter answe as a comma separated list of values.

4sinxcosx+2sinx-2cosx-1=0

Answer 1

Step 1:

The trigonometric equation is .

Take out common factors,

General solution :

If , then , where is an integer.

The general solution is

General solution :

If , then , where is an integer.

.

The general solution is .

The solutions in the interval of are

Solution:

The solutions are