sin x + cos x = 1 or cos x - sin x = 1: general solution

1. A.
   $x=n\pi,\ n\in\mathbb{Z}$
2. B.
   $x=2n\pi+\frac{\pi}{2}\ \text{or}\ 2n\pi,\ n\in\mathbb{Z}$
3. C.
   $x=n\pi+(-1)^n\frac{\pi}{4}-\frac{\pi}{4},\ n\in\mathbb{Z}$
4. D.
   not existing

Tap an option to check your answer.

1. A.
   $\theta = 2n\pi - \dfrac{\pi}{2}$ or $\theta = 2n\pi, n \in Z$
2. B.
   $\theta = n\pi - \dfrac{\pi}{2}$ or $\theta = n\pi, n \in Z$
3. C.
   $\theta = n\dfrac{\pi}{2} - \pi$ or $\theta = n\dfrac{\pi}{2}, n \in Z$
4. D.
   $\theta = 2n\pi + \dfrac{\pi}{2}$ or $\theta = n\pi, n \in Z$

Tap an option to check your answer.