Solve for the general value of theta:
Step 1: Simplify the expression in L.H.S by using appropriate trigonometric identity
Let us express as
On substituting the value of from above in the given equation
On rearranging the terms we get
From trigonometric identity, we know that
So the above equation becomes
On expanding using the trigonometric identity, we get
Applying these in our equation , we get
Step 2: Use compound angle formula of tangent
We know that
We have learnt that
Step 3: Find the value of
As we know that if , then the general solution is
Hence, is the solution of given trigonometric equation.