Mathematics

The key is to remember that $\cot x = \frac{\cos x}{\sin x}$, so you can use the quotient rule rather than memorizing a formula. When you apply quotient rule carefully—taking the derivative of the numerator and denominator, then combining—you'll notice the result simplifies nicely using the Pythagorean identity $\sin^2 x + \cos^2 x = 1$. The final answer will be a clean, single trigonometric expression.

The key is to remember that $\cot x = \frac{\cos x}{\sin x}$, so you can use the quotient rule rather than memorizing a formula. When you apply quotient rule carefully—taking the derivative of the numerator and denominator, then combining—you'll notice the result simplifies nicely using the Pythagorean identity $\sin^2 x + \cos^2 x = 1$. The final answer will be a clean, single trigonometric expression.