CAPE Pure Mathematics Unit 2 · May/June 2019 · Paper 1 · Question Q9

The derivative of the function y = \ln\left(\frac{\cos x}{\sin x}\right) with respect to x is

1. (A)\frac{\tan x}{\sin^2 x}
2. (B)-\sec x\operatorname{cosec} x
3. (C)-\frac{1}{\sin^2 x}
4. (D)\cot x