Question

Solve 8tan(x/2) + 8cosxtan(x/2) = 1?

Answer 1

Step 1 :

The trigonometric equation is .

Half-angle identity : .

and .

Step 2 :

Solve

The general solution of is .

The solution is , where n is an integer.

Step 3 :

Solve

The general solution of is .

The solution is , where n is an integer.

Solution :

The solutions are  and where n is an integer.