Practice Periodicity and Symmetry - 2.2 | 6. Trigonometric Identities and Graphs | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the periodicity of the sine function?

💡 Hint: Think about how often the function values repeat.

Question 2

Easy

What symmetry property does sin(−θ) represent?

💡 Hint: Consider reflections across the origin.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the period of the sine function?

  • 180°
  • 360°
  • 90°

💡 Hint: Consider how the sine wave returns to its original position.

Question 2

True or False: cos(−θ) = −cos(θ).

  • True
  • False

💡 Hint: Remember the definition of even symmetry.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that if sin(θ) = 0, then θ could be 0°, 180°, 360°, etc.

💡 Hint: Find where the sine wave crosses the x-axis.

Question 2

Graph y = sin(θ) + sin(θ + 90°) from 0° to 360° and discuss periodic and symmetric properties.

💡 Hint: Use properties of both sine functions to analyze the results.

Challenge and get performance evaluation