Determine the general solution to cos(x)−sin(x)=2sin(x−π4)\cos(x) - \sin(x) = \sqrt{2}\sin(x - \frac{\pi}{4})cos(x)−sin(x)=2sin(x−4π).
No solution
x=π4+2kπx = \frac{\pi}{4} + 2k\pix=4π+2kπ, k∈Zk \in \mathbb{Z}k∈Z
x=2kπx = 2k\pix=2kπ, k∈Zk \in \mathbb{Z}k∈Z
x=π2+kπx = \frac{\pi}{2} + k\pix=2π+kπ, k∈Zk \in \mathbb{Z}k∈Z