Answer
$\frac{1}{sin\theta}$
Work Step by Step
The identity says: $cot(\theta)=\frac{cos\theta}{sin\theta}$ and $sec(\theta)=\frac{1}{cos(\theta)}$. Hence $cot(\theta)\cdot sec(\theta)=\frac{cos\theta}{sin\theta}\cdot \frac{1}{cos(\theta)}=\frac{1}{sin\theta}$
