The Tangent Function (Grade 11 NSC Matric Mathematics): Flashcards

180°

$(-\infty, \infty)$

$\theta = 90°, 270°$, and every 180° thereafter

Vertical shift (up if $q > 0$, down if $q < 0$)

Branches become steeper

Reflects about x-axis

$\frac{180°}{|k|}$

Period decreases (repeats more frequently)

Graph shifts left by $p$ units

$-\tan \theta$ (odd function)