General Solution of Trigonometric Equations (VCE SSCE Mathematical Methods): Flashcards

Periodic nature - functions repeat values in cycles

$n$ can be any integer: ..., -2, -1, 0, 1, 2, ...

$[0, \pi]$

$[-\frac{\pi}{2}, \frac{\pi}{2}]$

$(-\frac{\pi}{2}, \frac{\pi}{2})$

$x = 2n\pi \pm \cos^{-1}(a)$, $n \in \mathbb{Z}$

$x = n\pi + \tan^{-1}(a)$, $n \in \mathbb{Z}$

$x = n\pi + (-1)^n\sin^{-1}(a)$, $n \in \mathbb{Z}$

$2\pi$ radians

$\pi$ radians