Flashcards · 6 cards

Trigonometric graphs

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Know it
Between which values do $y = \sin x$ and $y = \cos x$ go, and how often do they repeat?
Answer
Between $-1$ and $1$ , repeating every $360^\circ$ .
From the lesson: Trig graphs
Know it
The greatest and least values of $y = 2\sin x + 1$ ?
Answer
$3$ and $-1$ : twice as tall, moved up 1.
From the lesson: Trig graphs
Know it
How often does $y = 3\sin 2x$ repeat?
Answer
Every $180^\circ$ , twice as often as $\sin x$ .
From the lesson: Trig graphs
Know it
Filling in the table of values: which calculator mode?
Answer
Degree mode (D or DEG on the screen). In radian mode every value comes out wrong.
From the lesson: Trig graphs
Know it
Your graph is of $y = 2\sin x + 1$ . How do you use it to solve $\sin x = \frac14$ ?
Answer
Make the equation match the graph: $2\sin x + 1 = 1.5$ . Draw $y = 1.5$ and read down from each crossing.
From the lesson: Trig graphs
Know it
Reading the greatest value from your graph: what should you watch for?
Answer
The top is often between plotted points. Draw the curve smoothly through the top instead of flattening it at a plotted value.
From the lesson: Trig graphs