Practice Flashcards
Flip to reveal answersRange of y = sin x and y = cos x?
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All 8 Flashcards — Trig graphs
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Question
Range of y = sin x and y = cos x?
Answer
−1 ≤ y ≤ 1.
Question
Period of sin and cos?
Answer
360° (2π radians).
Question
Period of tan?
Answer
180° (π radians).
Question
Why does tan have asymptotes?
Answer
tan = sin/cos, so it blows up where cos x = 0 (90°, 270°, …).
Question
Does tan have an amplitude?
Answer
No — it's unbounded (range all reals), so amplitude doesn't apply.
Question
How do you find amplitude from a graph?
Answer
Amplitude = (max − min)/2.
Question
How are sin and cos related?
Answer
cos x = sin(x + 90°) — same wave shifted left 90°.
Question
Where is the max of y = cos x on 0°–360°?
Answer
At x = 0° and x = 360° (cos starts at its max).
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Topic 3.7 hub
Trig graphs & transformations
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