Practice Periodicity And Symmetry (2.2) - Trigonometric Identities and Graphs

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the periodicity of the sine function?
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Think about how often the function values repeat.
Question 2.
What symmetry property does sin(−θ) represent?
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Consider reflections across the origin.
3Question 3.
What is the period of the sine function?
- 180°
- 360°
- 90°
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Consider how the sine wave returns to its original position.
4Question 4.
True or False: cos(−θ) = −cos(θ).
- True
- False
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Remember the definition of even symmetry.
Question 5.
Prove that if sin(θ) = 0, then θ could be 0°, 180°, 360°, etc.
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Find where the sine wave crosses the x-axis.
Question 6.
Graph y = sin(θ) + sin(θ + 90°) from 0° to 360° and discuss periodic and symmetric properties.
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Use properties of both sine functions to analyze the results.

5 more questions in this section. Enroll free to practise them all.