I'll take the picture.
\(\frac{1+cos\theta}{sin\theta}+\frac{sin\theta}{cos\theta}=\frac{cos\theta+1}{sin\theta{cos\theta}}\)
Multiply by \(sin\theta{cos\theta}\) to get:
\((1+cos\theta)sin\theta=cos\theta+1\), which means that \(sin\theta=1\), like wtf?
I guess you got to this result.
Btw, if it's an equation you get that \(\theta=k\pi\), for k integer.
