Trigonometric Graphs Flashcards

All 6 cards in this deck

State the key features of the graph of $y = \sin x^\circ$.

A wave through $(0,0)$, repeating every $360^\circ$, with maximum $1$ and minimum $-1$.

State the key features of the graph of $y = \cos x^\circ$.

A wave starting at $(0,1)$, repeating every $360^\circ$, with maximum $1$ and minimum $-1$.

State the key features of the graph of $y = \tan x^\circ$.

Period $180^\circ$, crossing the $x$-axis at $0^\circ, 180^\circ, 360^\circ, \ldots$, with vertical asymptotes at $90^\circ, 270^\circ, \ldots$

For $0 \le x \le 360$, at which values of $x$ does the graph of $y = \sin x^\circ$ cross the $x$-axis?

$x = 0$, $180$ and $360$.

True or false? The maximum value of $\tan x^\circ$ is $1$.

False.
$\tan x^\circ$ has no maximum or minimum — it increases without limit towards each asymptote.

True or false? $\sin x^\circ$ is negative for all $x$ between $180$ and $360$.

True.
The sine curve lies below the $x$-axis between $180^\circ$ and $360^\circ$.