Answer
no real solution.
Work Step by Step
1. $sec\theta=tan\theta+cot\theta \Longrightarrow \frac{1}{cos\theta}=\frac{sin\theta}{cos\theta}+\frac{cos\theta}{sin\theta} \Longrightarrow sin\theta=sin^2\theta+cos^2\theta \Longrightarrow sin\theta=1$
2. $sin\theta=1 \Longrightarrow \theta=\frac{\pi}{2}$ not in the domain, thus no real solution.
