Simplfy sinθ/ cosθ + cos θ /sin θ
Given- $\frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta}$
Solution- Take the LCM$= \frac{\sin^2 \theta + \cos^2 \theta}{\sin \theta \cos \theta}$
Use the identity: $\sin^2 \theta + \cos^2 \theta = 1$
So,$\frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta}= \frac{1}{\sin \theta \cos \theta}$