Trigonometric Equations

To solve the equation: we proceed as follows:
Step 1: Express in terms of Using the double-angle identity for cotangent: Substitute this into the equation: Step 2: Simplify the equation
Multiply through by to eliminate the denominator: Simplify: Combine like terms: Step 3: Use trigonometric identities Recall that . Thus: Divide both sides by : Rewrite and in terms of sine and cosine: Multiply through by : Step 4: Solve for The equation simplifies to: The general solution for is: Thus, for : Multiply through by 2: Final Answer: