While I was revising my trigonometry skills preparing to matriculation exam, I came cross a task I could not solve entirely. I paste my solution of mentioned task and it's content, it is basically about solving equation. The problem is that my solution lacks one answer namely: $x = k * \frac{\pi}{2}$ . The other answers I've found are valid. Can someone explain me this?
2026-03-31 20:21:14.1774988474
Problem with trigonometry equation solution
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1
You are diving by $\cos(x)\sin(x)$ at some point. The problem is that this can be equal to $0$. In which case you get that $\sin(2x)=0$, i.e. $x=\frac{k\pi}{2}$