Questionf. $(\tan \theta-1)(\sec \theta-1)=0$

Studdy Solution
Combine the solutions from both equations to determine the complete set of solutions for $\theta$:
1. $\theta = \frac{\pi}{4} + n\pi, \quad n \in \mathbb{Z}$
2. $\theta = 2n\pi, \quad n \in \mathbb{Z}$
These solutions represent the angles where either $\tan \theta = 1$ or $\sec \theta = 1$.
The general solutions for $\theta$ are:
$\boxed{\theta = \frac{\pi}{4} + n\pi \quad \text{and} \quad \theta = 2n\pi, \quad n \in \mathbb{Z}}$